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12632200464 = 24313191065469
BaseRepresentation
bin10111100001111000…
…00001010100010000
31012121100201021100110
423300330001110100
5201332320403324
65445251521320
7625015634532
oct136074012420
935540637313
1012632200464
1153a26031a4
1225465b9240
131264125b40
1487b987852
154ddeee329
hex2f0f01510

12632200464 has 80 divisors (see below), whose sum is σ = 36993118400. Its totient is φ = 3682257408.

The previous prime is 12632200459. The next prime is 12632200499. The reversal of 12632200464 is 46400223621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520879 + ... + 544590.

It is an arithmetic number, because the mean of its divisors is an integer number (462413980).

Almost surely, 212632200464 is an apocalyptic number.

It is an amenable number.

12632200464 is an abundant number, since it is smaller than the sum of its proper divisors (24360917936).

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

12632200464 is a wasteful number, since it uses less digits than its factorization.

12632200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065512 (or 1065506 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 12632200464 in words is "twelve billion, six hundred thirty-two million, two hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 1065469 2130938 3196407 4261876 6392814 8523752 12785628 13851097 17047504 20243911 25571256 27702194 40487822 41553291 51142512 55404388 60731733 80975644 83106582 110808776 121463466 161951288 166213164 221617552 242926932 263170843 323902576 332426328 485853864 526341686 664852656 789512529 971707728 1052683372 1579025058 2105366744 3158050116 4210733488 6316100232 12632200464