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138172976640 = 293255997091
BaseRepresentation
bin1000000010101111000…
…0000100111000000000
3111012122111211110212100
42000223300010320000
54230434240223030
6143250434230400
712661024631406
oct2005360047000
9435574743770
10138172976640
1153665052486
1222941a25400
13100501cca9a
14698ab1d476
1538da62b360
hex202bc04e00

138172976640 has 120 divisors (see below), whose sum is σ = 478531959048. Its totient is φ = 36846120960.

The previous prime is 138172976609. The next prime is 138172976653. The reversal of 138172976640 is 46679271831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2975506 + ... + 3021585.

Almost surely, 2138172976640 is an apocalyptic number.

138172976640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138172976640 is an abundant number, since it is smaller than the sum of its proper divisors (340358982408).

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

138172976640 is an equidigital number, since it uses as much as digits as its factorization.

138172976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997120 (or 5997101 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 138172976640 in words is "one hundred thirty-eight billion, one hundred seventy-two million, nine hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 5997091 11994182 17991273 23988364 29985455 35982546 47976728 53973819 59970910 71965092 89956365 95953456 107947638 119941820 143930184 179912730 191906912 215895276 239883640 269869095 287860368 359825460 383813824 431790552 479767280 539738190 575720736 719650920 767627648 863581104 959534560 1079476380 1151441472 1439301840 1535255296 1727162208 1919069120 2158952760 2302882944 2878603680 3070510592 3454324416 3838138240 4317905520 4605765888 5757207360 6908648832 7676276480 8635811040 9211531776 11514414720 13817297664 15352552960 17271622080 23028829440 27634595328 34543244160 46057658880 69086488320 138172976640