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157640028896 = 2574714973407
BaseRepresentation
bin1001001011010000010…
…0111111001011100000
3120001220012112012020202
42102310010333023200
510040321321411041
6200230244524332
714250316064660
oct2226404771340
9501805465222
10157640028896
1160944760a19
12266753b06a8
1311b33357a0c
1478b63141a0
1541796c1a9b
hex24b413f2e0

157640028896 has 48 divisors (see below), whose sum is σ = 362236686336. Its totient is φ = 66122560896.

The previous prime is 157640028881. The next prime is 157640028899. The reversal of 157640028896 is 698820046751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157640028899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7476176 + ... + 7497231.

It is an arithmetic number, because the mean of its divisors is an integer number (7546597632).

Almost surely, 2157640028896 is an apocalyptic number.

157640028896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157640028896 is an abundant number, since it is smaller than the sum of its proper divisors (204596657440).

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

157640028896 is a wasteful number, since it uses less digits than its factorization.

157640028896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973471 (or 14973463 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 157640028896 in words is "one hundred fifty-seven billion, six hundred forty million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 14973407 29946814 59893628 104813849 119787256 209627698 239574512 419255396 479149024 703750129 838510792 1407500258 1677021584 2815000516 3354043168 4926250903 5630001032 9852501806 11260002064 19705003612 22520004128 39410007224 78820014448 157640028896