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12457157427 = 3411131075469
BaseRepresentation
bin10111001101000000…
…10010001100110011
31012011011100011110000
423212200102030303
5201003013014202
65420040041043
7620462043141
oct134640221463
935134304400
1012457157427
115312816830
1224b7a63183
131236a99290
14862620591
154cd97491c
hex2e6812333

12457157427 has 40 divisors (see below), whose sum is σ = 21862154160. Its totient is φ = 6969032640.

The previous prime is 12457157407. The next prime is 12457157431. The reversal of 12457157427 is 72475175421.

It is a happy number.

12457157427 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 71 + 574 + 2 + 7 = 666.

It is not a de Polignac number, because 12457157427 - 28 = 12457157171 is a prime.

It is a super-3 number, since 3×124571574273 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12457157407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526152 + ... + 549317.

It is an arithmetic number, because the mean of its divisors is an integer number (546553854).

Almost surely, 212457157427 is an apocalyptic number.

12457157427 is a deficient number, since it is larger than the sum of its proper divisors (9404996733).

12457157427 is a wasteful number, since it uses less digits than its factorization.

12457157427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075505 (or 1075496 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The spelling of 12457157427 in words is "twelve billion, four hundred fifty-seven million, one hundred fifty-seven thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 11583 1075469 3226407 9679221 11830159 13981097 29037663 35490477 41943291 87112989 106471431 125829873 153792067 319414293 377489619 461376201 958242879 1132468857 1384128603 4152385809 12457157427