| Base | Representation |
|---|---|
| bin | 1001001011011101101… |
| … | …1110101111101100100 |
| 3 | 120002001010111201011100 |
| 4 | 2102313123311331210 |
| 5 | 10040430231231400 |
| 6 | 200240020040100 |
| 7 | 14251601606400 |
| oct | 2226733657544 |
| 9 | 502033451140 |
| 10 | 157696352100 |
| 11 | 60973530421 |
| 12 | 26690233030 |
| 13 | 11b41c18261 |
| 14 | 78bd9b6100 |
| 15 | 417e5ea100 |
| hex | 24b76f5f64 |
157696352100 has 729 divisors, whose sum is σ = 604036985643. Its totient is φ = 34310304000.
The previous prime is 157696352087. The next prime is 157696352101. The reversal of 157696352100 is 1253696751.
The square root of 157696352100 is 397110.
It is a perfect power (a square), and thus also a powerful number.
157696352100 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 9 + 635 + 2 + 1 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 72637796196 + 85058555904 = 269514^2 + 291648^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (157696352101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2585186070 + ... + 2585186130.
Almost surely, 2157696352100 is an apocalyptic number.
157696352100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
157696352100 is the 397110-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 157696352100
157696352100 is an abundant number, since it is smaller than the sum of its proper divisors (446340633543).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157696352100 is a wasteful number, since it uses less digits than its factorization.
157696352100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 218 (or 109 counting only the distinct ones).
The product of its (nonzero) digits is 340200, while the sum is 45.
It can be divided in two parts, 157696 and 352100, that added together give a square (509796 = 7142).
The spelling of 157696352100 in words is "one hundred fifty-seven billion, six hundred ninety-six million, three hundred fifty-two thousand, one hundred".
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