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315093509172 = 2232131733891773
BaseRepresentation
bin1001001010111010000…
…10010110010000110100
31010010022102000201220100
410211131002112100310
520130302414243142
6400430231234100
731523211431301
oct4453502262064
91103272021810
10315093509172
111116a3087122
1251098218930
1323936b57c20
14113719480a8
1582e27e4b4c
hex495d096434

315093509172 has 72 divisors (see below), whose sum is σ = 862712893224. Its totient is φ = 96391408896.

The previous prime is 315093509113. The next prime is 315093509173. The reversal of 315093509172 is 271905390513.

315093509172 is a `hidden beast` number, since 3 + 1 + 50 + 93 + 509 + 1 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116414710416 + 198678798756 = 341196^2 + 445734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315093509173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864923 + ... + 2026850.

It is an arithmetic number, because the mean of its divisors is an integer number (11982123517).

Almost surely, 2315093509172 is an apocalyptic number.

It is an amenable number.

315093509172 is an abundant number, since it is smaller than the sum of its proper divisors (547619384052).

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

315093509172 is a wasteful number, since it uses less digits than its factorization.

315093509172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891969 (or 3891964 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

Adding to 315093509172 its reverse (271905390513), we get a palindrome (586998899685).

The spelling of 315093509172 in words is "three hundred fifteen billion, ninety-three million, five hundred nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 40482 80964 3891773 7783546 11675319 15567092 23350638 35025957 46701276 50593049 70051914 101186098 140103828 151779147 202372196 303558294 455337441 607116588 673276729 910674882 1346553458 1821349764 2019830187 2693106916 4039660374 6059490561 8079320748 8752597477 12118981122 17505194954 24237962244 26257792431 35010389908 52515584862 78773377293 105031169724 157546754586 315093509172