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138217153680 = 24 ⋅ 33 ⋅ 5 ⋅ 1163 ⋅ 55021
BaseRepresentation
bin1000000010111001100…
……0100110010010010000
3111012202120221220101000
42000232120212102100
54231032042404210
6143255053142000
712662102264424
oct2005630462220
9435676856330
10138217153680
1153687a86331
122295478a900
13100593c9948
14699293cb84
1538de455ac0
hex202e626490

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(max 15 digits)

138217153680 has 160 divisors (see below), whose sum is σ = 476499323520. Its totient is φ = 36825546240.

The previous prime is 138217153637. The next prime is 138217153681. The reversal of 138217153680 is 86351712831.

It is a happy number.

138217153680 is a `hidden beast` number, since 1 + 38 + 2 + 1 + 7 + 1 + 536 + 80 = 666.

138217153680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138217153681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484570 + ... + 2539590.

It is an arithmetic number, because the mean of its divisors is an integer number (2978120772).

Almost surely, 2138217153680 is an apocalyptic number.

138217153680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138217153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238249661760).

138217153680 is an abundant number, since it is smaller than the sum of its proper divisors (338282169840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138217153680 is a wasteful number, since it uses less digits than its factorization.

138217153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56206 (or 56194 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 138217153680 in words is "one hundred thirty-eight billion, two hundred seventeen million, one hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1163 2160 2326 3489 4652 5815 6978 9304 10467 11630 13956 17445 18608 20934 23260 27912 31401 34890 41868 46520 52335 55021 55824 62802 69780 83736 93040 104670 110042 125604 139560 157005 165063 167472 209340 220084 251208 275105 279120 314010 330126 418680 440168 495189 502416 550210 628020 660252 825315 837360 880336 990378 1100420 1256040 1320504 1485567 1650630 1980756 2200840 2475945 2512080 2641008 2971134 3301260 3961512 4401680 4951890 5942268 6602520 7427835 7923024 9903780 11884536 13205040 14855670 19807560 23769072 29711340 39615120 59422680 63989423 118845360 127978846 191968269 255957692 319947115 383936538 511915384 575904807 639894230 767873076 959841345 1023830768 1151809614 1279788460 1535746152 1727714421 1919682690 2303619228 2559576920 2879524035 3071492304 3455428842 3839365380 4607238456 5119153840 5759048070 6910857684 7678730760 8638572105 9214476912 11518096140 13821715368 15357461520 17277144210 23036192280 27643430736 34554288420 46072384560 69108576840 138217153680