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315253052676 = 2234311932
BaseRepresentation
bin1001001011001101000…
…10111101010100000100
31010010201112020101110000
410211212202331110010
520131114240141201
6400454131001300
731530156506562
oct4454642752404
91103645211400
10315253052676
11111775147561
1251121739230
1323960c18973
1411388bd8a32
15830180bd86
hex49668bd504

315253052676 has 45 divisors (see below), whose sum is σ = 824160173221. Its totient is φ = 105080982048.

The previous prime is 315253052629. The next prime is 315253052683. The reversal of 315253052676 is 676250352513.

The square root of 315253052676 is 561474.

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

315253052676 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 53 + 0 + 526 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156032900100 + 159220152576 = 395010^2 + 399024^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 10090936 + ... + 10122128.

Almost surely, 2315253052676 is an apocalyptic number.

315253052676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315253052676 is the 561474-th square number.

It is an amenable number.

315253052676 is an abundant number, since it is smaller than the sum of its proper divisors (508907120545).

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

315253052676 is an frugal number, since it uses more digits than its factorization.

315253052676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62402 (or 31198 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 315253052676 in words is "three hundred fifteen billion, two hundred fifty-three million, fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 31193 62386 93579 124772 187158 280737 374316 561474 842211 1122948 1684422 2526633 3368844 5053266 10106532 973003249 1946006498 2919009747 3892012996 5838019494 8757029241 11676038988 17514058482 26271087723 35028116964 52542175446 78813263169 105084350892 157626526338 315253052676