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80972660096880 = 2435416418102257
BaseRepresentation
bin10010011010010011101010…
…101001000011111101110000
3101121200220120220102110122120
4102122103222221003331300
541103124001441100010
6444114154310034240
723025040000411116
oct2232235251037560
9347626526373576
1080972660096880
1123889348743182
1290b9064048980
1336248c5bba996
1415dd151d99ab6
15956440d77e70
hex49a4eaa43f70

80972660096880 has 80 divisors (see below), whose sum is σ = 251021305361184. Its totient is φ = 21592188149760.

The previous prime is 80972660096863. The next prime is 80972660096897. The reversal of 80972660096880 is 8869006627908.

It is an interprime number because it is at equal distance from previous prime (80972660096863) and next prime (80972660096897).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×809726600968802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5942712 + ... + 14044968.

Almost surely, 280972660096880 is an apocalyptic number.

80972660096880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80972660096880 is an abundant number, since it is smaller than the sum of its proper divisors (170048645264304).

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

80972660096880 is a wasteful number, since it uses less digits than its factorization.

80972660096880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143914 (or 8143908 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 80972660096880 in words is "eighty trillion, nine hundred seventy-two billion, six hundred sixty million, ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41641 83282 124923 166564 208205 249846 333128 416410 499692 624615 666256 832820 999384 1249230 1665640 1998768 2498460 3331280 4996920 8102257 9993840 16204514 24306771 32409028 40511285 48613542 64818056 81022570 97227084 121533855 129636112 162045140 194454168 243067710 324090280 388908336 486135420 648180560 972270840 1944541680 337386083737 674772167474 1012158251211 1349544334948 1686930418685 2024316502422 2699088669896 3373860837370 4048633004844 5060791256055 5398177339792 6747721674740 8097266009688 10121582512110 13495443349480 16194532019376 20243165024220 26990886698960 40486330048440 80972660096880