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2315460645132 = 22337145917532039
BaseRepresentation
bin100001101100011100001…
…101011001000100001100
322012100121102201000201120
4201230130031121010030
5300414030411121012
64531412525240540
7326200162513515
oct41543415310414
98170542630646
102315460645132
11812a88196658
12314903103150
1313a4684950bb
14800d7085a0c
154036cb4358c
hex21b1c35910c

2315460645132 has 96 divisors (see below), whose sum is σ = 5558456870400. Its totient is φ = 749649572352.

The previous prime is 2315460645131. The next prime is 2315460645191.

2315460645132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23154606451322 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2315460645131) 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 31 ways as a sum of consecutive naturals, for example, 1135585369 + ... + 1135587407.

It is an arithmetic number, because the mean of its divisors is an integer number (57900592400).

Almost surely, 22315460645132 is an apocalyptic number.

It is an amenable number.

2315460645132 is an abundant number, since it is smaller than the sum of its proper divisors (3242996225268).

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

2315460645132 is a wasteful number, since it uses less digits than its factorization.

2315460645132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2315460645132 in words is "two trillion, three hundred fifteen billion, four hundred sixty million, six hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1459 1753 2039 2918 3506 4078 4377 5259 5836 6117 7012 8156 8754 10518 12234 17508 21036 24468 53983 64861 75443 107966 129722 150886 161949 194583 215932 226329 259444 301772 323898 389166 452658 647796 778332 905316 2557627 2974901 3574367 5115254 5949802 7148734 7672881 8924703 10230508 10723101 11899604 14297468 15345762 17849406 21446202 30691524 35698812 42892404 94632199 110071337 132251579 189264398 220142674 264503158 283896597 330214011 378528796 396754737 440285348 529006316 567793194 660428022 793509474 1135586388 1320856044 1587018948 5215001453 10430002906 15645004359 20860005812 31290008718 62580017436 192955053761 385910107522 578865161283 771820215044 1157730322566 2315460645132