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12045257252 = 22719732691153
BaseRepresentation
bin10110011011111010…
…00000101000100100
31011002110021110121222
423031331000220210
5144132041213002
65311123355512
7604330666040
oct131575005044
934073243558
1012045257252
115121263066
122401b22b98
13119c64c272
14823a3d020
154a77101a2
hex2cdf40a24

12045257252 has 96 divisors (see below), whose sum is σ = 25823750400. Its totient is φ = 4801462272.

The previous prime is 12045257227. The next prime is 12045257311. The reversal of 12045257252 is 25275254021.

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, 10446308 + ... + 10447460.

It is an arithmetic number, because the mean of its divisors is an integer number (268997400).

Almost surely, 212045257252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045257252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911875200).

12045257252 is an abundant number, since it is smaller than the sum of its proper divisors (13778493148).

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

12045257252 is a wasteful number, since it uses less digits than its factorization.

12045257252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 12045257252 in words is "twelve billion, forty-five million, two hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 269 292 511 532 538 1022 1076 1153 1387 1883 2044 2306 2774 3766 4612 5111 5548 7532 8071 9709 10222 16142 19418 19637 20444 21907 32284 35777 38836 39274 43814 71554 78548 84169 87628 137459 143108 153349 168338 274918 306698 310157 336676 373103 549836 589183 613396 620314 746206 1178366 1240628 1492412 1599211 2171099 2356732 2611721 3198422 4342198 5223442 5892983 6396844 8684396 10446884 11194477 11785966 22388954 22641461 23571932 41250881 44777908 45282922 82501762 90565844 158490227 165003524 316980454 430187759 633960908 860375518 1720751036 3011314313 6022628626 12045257252