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157104265344 = 2731331471207
BaseRepresentation
bin1001001001010000100…
…1001101100010000000
3120000111212101120211020
42102110021031202000
510033222142442334
6200101145345440
714231122136055
oct2222411154200
9500455346736
10157104265344
116069a297924
1226545a98280
1311a79360470
1478650cd02c
154147641e49
hex249424d880

157104265344 has 64 divisors (see below), whose sum is σ = 449408850240. Its totient is φ = 48339772416.

The previous prime is 157104265343. The next prime is 157104265349. The reversal of 157104265344 is 443562401751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 157104265296 and 157104265305.

It is not an unprimeable number, because it can be changed into a prime (157104265343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15730612 + ... + 15740595.

It is an arithmetic number, because the mean of its divisors is an integer number (7022013285).

Almost surely, 2157104265344 is an apocalyptic number.

It is an amenable number.

157104265344 is an abundant number, since it is smaller than the sum of its proper divisors (292304584896).

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

157104265344 is a wasteful number, since it uses less digits than its factorization.

157104265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31471237 (or 31471225 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 157104265344 in words is "one hundred fifty-seven billion, one hundred four million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 31471207 62942414 94413621 125884828 188827242 251769656 377654484 409125691 503539312 755308968 818251382 1007078624 1227377073 1510617936 1636502764 2014157248 2454754146 3021235872 3273005528 4028314496 4909508292 6042471744 6546011056 9819016584 12084943488 13092022112 19638033168 26184044224 39276066336 52368088448 78552132672 157104265344