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157048934436 = 22322574
BaseRepresentation
bin1001001001000011011…
…0001001000000100100
3120000101000021111002100
42102100312021000210
510033114011400221
6200051451412100
714226550626342
oct2222066110044
9500330244070
10157048934436
11606710359a9
122652b454030
1311a6aa59794
14785ba08992
154142862926
hex2490d89024

157048934436 has 45 divisors (see below), whose sum is σ = 398535528391. Its totient is φ = 52145949696.

The previous prime is 157048934417. The next prime is 157048934437. The reversal of 157048934436 is 634439840751.

The square root of 157048934436 is 396294.

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

157048934436 is a `hidden beast` number, since 1 + 5 + 70 + 48 + 93 + 443 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147460608036 + 9588326400 = 384006^2 + 97920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157048934437) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 611085220 + ... + 611085476.

Almost surely, 2157048934436 is an apocalyptic number.

157048934436 is the 396294-th square number.

It is an amenable number.

157048934436 is an abundant number, since it is smaller than the sum of its proper divisors (241486593955).

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

157048934436 is an frugal number, since it uses more digits than its factorization.

157048934436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 157048934436 in words is "one hundred fifty-seven billion, forty-eight million, nine hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 66049 132098 198147 264196 396294 594441 792588 1188882 2377764 16974593 33949186 50923779 67898372 101847558 152771337 203695116 305542674 611085348 4362470401 8724940802 13087411203 17449881604 26174822406 39262233609 52349644812 78524467218 157048934436