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12413248932888 = 2332265736488023
BaseRepresentation
bin1011010010100010111101…
…0010110000110000011000
31121221200202122211222222100
42310220233102300300120
53111334313211323023
642222322352523400
72420553611000016
oct264505722606030
947850678758870
1012413248932888
113a5647a456611
12148592bb50560
136c0744b5a68b
1430cb395c98b6
15167d6ca3dc43
hexb4a2f4b0c18

12413248932888 has 48 divisors (see below), whose sum is σ = 33620486206320. Its totient is φ = 4137593294016.

The previous prime is 12413248932803. The next prime is 12413248932941. The reversal of 12413248932888 is 88823984231421.

12413248932888 is a `hidden beast` number, since 1 + 2 + 41 + 3 + 2 + 489 + 32 + 8 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330756 + ... + 5157267.

It is an arithmetic number, because the mean of its divisors is an integer number (700426795965).

Almost surely, 212413248932888 is an apocalyptic number.

12413248932888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12413248932888 is an abundant number, since it is smaller than the sum of its proper divisors (21207237273432).

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

12413248932888 is a wasteful number, since it uses less digits than its factorization.

12413248932888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514608 (or 6514601 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 12413248932888 in words is "twelve trillion, four hundred thirteen billion, two hundred forty-eight million, nine hundred thirty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 26573 53146 79719 106292 159438 212584 239157 318876 478314 637752 956628 1913256 6488023 12976046 19464069 25952092 38928138 51904184 58392207 77856276 116784414 155712552 233568828 467137656 172406235179 344812470358 517218705537 689624940716 1034437411074 1379249881432 1551656116611 2068874822148 3103312233222 4137749644296 6206624466444 12413248932888