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12325814462260 = 22513239412190407
BaseRepresentation
bin1011001101011101001111…
…0010101110011100110100
31121122100002012110200112101
42303113103302232130310
53103421232000243020
642114222340431444
72411340113155645
oct263272362563464
947570065420471
1012325814462260
113a22391a26732
1214709aa3a8584
136b541c6cc520
143088033196cc
15165951a3400a
hexb35d3cae734

12325814462260 has 96 divisors (see below), whose sum is σ = 29118197509632. Its totient is φ = 4348569223680.

The previous prime is 12325814462207. The next prime is 12325814462261. The reversal of 12325814462260 is 6226441852321.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 12325814462260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12325814462261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531977 + ... + 6722383.

It is an arithmetic number, because the mean of its divisors is an integer number (303314557392).

Almost surely, 212325814462260 is an apocalyptic number.

12325814462260 is a gapful number since it is divisible by the number (10) 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 12325814462260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559098754816).

12325814462260 is an abundant number, since it is smaller than the sum of its proper divisors (16792383047372).

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

12325814462260 is a wasteful number, since it uses less digits than its factorization.

12325814462260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191393 (or 2191391 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 12325814462260 in words is "twelve trillion, three hundred twenty-five billion, eight hundred fourteen million, four hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 941 1196 1495 1882 2990 3764 4705 5980 9410 12233 18820 21643 24466 43286 48932 61165 86572 108215 122330 216430 244660 281359 432860 562718 1125436 1406795 2190407 2813590 4380814 5627180 8761628 10952035 21904070 28475291 43808140 50379361 56950582 100758722 113901164 142376455 201517444 251896805 284752910 503793610 569505820 654931693 1007587220 1309863386 2061172987 2619726772 3274658465 4122345974 6549316930 8244691948 10305864935 13098633860 20611729870 26795248831 41223459740 47406978701 53590497662 94813957402 107180995324 133976244155 189627914804 237034893505 267952488310 474069787010 535904976620 616290723113 948139574020 1232581446226 2465162892452 3081453615565 6162907231130 12325814462260