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69142407360 = 2635135540257
BaseRepresentation
bin100000001100100110…
…1010110100011000000
320121110122122012221020
41000121031112203000
52113100424013420
651432533425440
74665261523365
oct1003115264300
9217418565836
1069142407360
11273610a5024
121149779b280
13669b87b4a0
1434bcb7846c
151bea1ae340
hex10193568c0

69142407360 has 112 divisors (see below), whose sum is σ = 236413889376. Its totient is φ = 17019666432.

The previous prime is 69142407353. The next prime is 69142407379. The reversal of 69142407360 is 6370424196.

It is a super-3 number, since 3×691424073603 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2757649 + ... + 2782608.

It is an arithmetic number, because the mean of its divisors is an integer number (2110838298).

Almost surely, 269142407360 is an apocalyptic number.

69142407360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69142407360 is an abundant number, since it is smaller than the sum of its proper divisors (167271482016).

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

69142407360 is a wasteful number, since it uses less digits than its factorization.

69142407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540290 (or 5540280 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 69142407360 in words is "sixty-nine billion, one hundred forty-two million, four hundred seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 5540257 11080514 16620771 22161028 27701285 33241542 44322056 55402570 66483084 72023341 83103855 88644112 110805140 132966168 144046682 166207710 177288224 216070023 221610280 265932336 288093364 332415420 354576448 360116705 432140046 443220560 531864672 576186728 664830840 720233410 864280092 886441120 1063729344 1080350115 1152373456 1329661680 1440466820 1728560184 1772882240 2160700230 2304746912 2659323360 2880933640 3457120368 4321400460 4609493824 5318646720 5761867280 6914240736 8642800920 11523734560 13828481472 17285601840 23047469120 34571203680 69142407360