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157064332656 = 243721121931937
BaseRepresentation
bin1001001001000111000…
…0111000010101110000
3120000102002020210110210
42102101300320111300
510033131432121111
6200053201424120
714230125541200
oct2222160702560
9500362223423
10157064332656
11606797a2900
122653463b040
1311a70cbb45a
14785da96400
154143da50a6
hex2491c38570

157064332656 has 720 divisors, whose sum is σ = 564327214080. Its totient is φ = 37362124800.

The previous prime is 157064332651. The next prime is 157064332679. The reversal of 157064332656 is 656233460751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157064332651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167624220 + ... + 167625156.

Almost surely, 2157064332656 is an apocalyptic number.

157064332656 is a gapful number since it is divisible by the number (16) 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 157064332656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282163607040).

157064332656 is an abundant number, since it is smaller than the sum of its proper divisors (407262881424).

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

157064332656 is a wasteful number, since it uses less digits than its factorization.

157064332656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 157064332656 in words is "one hundred fifty-seven billion, sixty-four million, three hundred thirty-two thousand, six hundred fifty-six".