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12899591952 = 24313231934657
BaseRepresentation
bin11000000001110000…
…00010011100010000
31020021222212011111220
430000320002130100
5202404243420302
65532003005040
7634443502542
oct140070023420
936258764456
1012899591952
11551a5353a5
122600069780
1312a7647560
148a52ad692
1550771b4bc
hex300e02710

12899591952 has 160 divisors (see below), whose sum is σ = 37649756928. Its totient is φ = 3776053248.

The previous prime is 12899591927. The next prime is 12899591983. The reversal of 12899591952 is 25919599821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2767608 + ... + 2772264.

Almost surely, 212899591952 is an apocalyptic number.

12899591952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12899591952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824878464).

12899591952 is an abundant number, since it is smaller than the sum of its proper divisors (24750164976).

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

12899591952 is a wasteful number, since it uses less digits than its factorization.

12899591952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4891 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 60.

The spelling of 12899591952 in words is "twelve billion, eight hundred ninety-nine million, five hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 193 208 276 299 312 368 386 552 579 598 624 772 897 1104 1158 1196 1544 1794 2316 2392 2509 3088 3588 4439 4632 4657 4784 5018 7176 7527 8878 9264 9314 10036 13317 13971 14352 15054 17756 18628 20072 26634 27942 30108 35512 37256 40144 53268 55884 57707 60216 60541 71024 74512 106536 107111 111768 115414 120432 121082 173121 181623 213072 214222 223536 230828 242164 321333 346242 363246 428444 461656 484328 642666 692484 726492 856888 898801 923312 968656 1285332 1384968 1392443 1452984 1713776 1797602 2570664 2696403 2769936 2784886 2905968 3595204 4177329 5141328 5392806 5569772 7190408 8354658 10785612 11139544 11684413 14380816 16709316 20672423 21571224 22279088 23368826 33418632 35053239 41344846 43142448 46737652 62017269 66837264 70106478 82689692 93475304 124034538 140212956 165379384 186950608 248069076 268741499 280425912 330758768 496138152 537482998 560851824 806224497 992276304 1074965996 1612448994 2149931992 3224897988 4299863984 6449795976 12899591952