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12146920255752 = 23319156716999351
BaseRepresentation
bin1011000011000010110011…
…0111011111000100001000
31121000020022202110101210020
42300300230313133010020
53043003343041141002
641500115041020440
72362405002411402
oct260605467370410
947006282411706
1012146920255752
1139635308a6577
1214421a3024720
136a15acbb6969
142ddcb2329b72
15160e814582bc
hexb0c2cddf108

12146920255752 has 64 divisors (see below), whose sum is σ = 31985980723200. Its totient is φ = 3833421422400.

The previous prime is 12146920255721. The next prime is 12146920255777. The reversal of 12146920255752 is 25755202964121.

It is a junction number, because it is equal to n+sod(n) for n = 12146920255695 and 12146920255704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785124 + ... + 9214227.

It is an arithmetic number, because the mean of its divisors is an integer number (499780948800).

Almost surely, 212146920255752 is an apocalyptic number.

12146920255752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12146920255752 is an abundant number, since it is smaller than the sum of its proper divisors (19839060467448).

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

12146920255752 is a wasteful number, since it uses less digits than its factorization.

12146920255752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000946 (or 17000942 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 12146920255752 in words is "twelve trillion, one hundred forty-six billion, nine hundred twenty million, two hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1567 3134 4701 6268 9402 12536 18804 29773 37608 59546 89319 119092 178638 238184 357276 714552 16999351 33998702 50998053 67997404 101996106 135994808 203992212 322987669 407984424 645975338 968963007 1291950676 1937926014 2583901352 3875852028 7751704056 26637983017 53275966034 79913949051 106551932068 159827898102 213103864136 319655796204 506121677323 639311592408 1012243354646 1518365031969 2024486709292 3036730063938 4048973418584 6073460127876 12146920255752