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157734476964 = 223237217892
BaseRepresentation
bin1001001011100110110…
…1010001110010100100
3120002010210020122122100
42102321231101302210
510041020011230324
6200243501132100
714252543634531
oct2227155216244
9502123218570
10157734476964
1160993000179
12266a0b5a030
1311b49aa644c
1478c4a9bd88
154182b2b4c9
hex24b9b51ca4

157734476964 has 81 divisors (see below), whose sum is σ = 410014293507. Its totient is φ = 51128532288.

The previous prime is 157734476941. The next prime is 157734477029. The reversal of 157734476964 is 469674437751.

It is a happy number.

The square root of 157734476964 is 397158.

It is a perfect power (a square), and thus also a powerful number.

157734476964 is a `hidden beast` number, since 1 + 5 + 7 + 73 + 4 + 476 + 96 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112191502500 + 45542974464 = 334950^2 + 213408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88168182 + ... + 88169970.

Almost surely, 2157734476964 is an apocalyptic number.

157734476964 is the 397158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157734476964

157734476964 is an abundant number, since it is smaller than the sum of its proper divisors (252279816543).

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

157734476964 is an equidigital number, since it uses as much as digits as its factorization.

157734476964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 1831 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 157734476964 in words is "one hundred fifty-seven billion, seven hundred thirty-four million, four hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 1789 2738 3578 4107 5367 5476 7156 8214 10734 12321 16101 16428 21468 24642 32202 49284 64404 66193 132386 198579 264772 397158 595737 794316 1191474 2382948 2449141 3200521 4898282 6401042 7347423 9601563 9796564 12802084 14694846 19203126 22042269 28804689 29389692 38406252 44084538 57609378 88169076 115218756 118419277 236838554 355257831 473677108 710515662 1065773493 1421031324 2131546986 4263093972 4381513249 8763026498 13144539747 17526052996 26289079494 39433619241 52578158988 78867238482 157734476964