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157725076680 = 23325438125213
BaseRepresentation
bin1001001011100100100…
…1011010110011001000
3120002010010120001212200
42102321021122303020
510041010104423210
6200242523440200
714252401013463
oct2227111326310
9502103501780
10157725076680
116098876a646
1226699986060
1311b47b64852
1478c37322da
154181dc10c0
hex24b925acc8

157725076680 has 48 divisors (see below), whose sum is σ = 512606500380. Its totient is φ = 42060020352.

The previous prime is 157725076661. The next prime is 157725076681. The reversal of 157725076680 is 86670527751.

It is a happy number.

157725076680 is a `hidden beast` number, since 1 + 5 + 7 + 72 + 507 + 6 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157448652804 + 276423876 = 396798^2 + 16626^2 .

It is not an unprimeable number, because it can be changed into a prime (157725076681) 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 11 ways as a sum of consecutive naturals, for example, 219062247 + ... + 219062966.

Almost surely, 2157725076680 is an apocalyptic number.

157725076680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157725076680 is an abundant number, since it is smaller than the sum of its proper divisors (354881423700).

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

157725076680 is a wasteful number, since it uses less digits than its factorization.

157725076680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438125230 (or 438125223 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 157725076680 in words is "one hundred fifty-seven billion, seven hundred twenty-five million, seventy-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 438125213 876250426 1314375639 1752500852 2190626065 2628751278 3505001704 3943126917 4381252130 5257502556 6571878195 7886253834 8762504260 10515005112 13143756390 15772507668 17525008520 19715634585 26287512780 31545015336 39431269170 52575025560 78862538340 157725076680