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457427986127 = 73103121710639
BaseRepresentation
bin1101010100000001101…
…01010010011011001111
31121201200221110022222222
412222000311102123033
524443303031024002
6550050045125555
745022330505000
oct6520065223317
91551627408888
10457427986127
11166aa319a362
127479b8598bb
133419b273a18
14181d521b1a7
15bd734481a2
hex6a80d526cf

457427986127 has 32 divisors (see below), whose sum is σ = 539116032000. Its totient is φ = 387919010304.

The previous prime is 457427986087. The next prime is 457427986129. The reversal of 457427986127 is 721689724754.

It is not a de Polignac number, because 457427986127 - 210 = 457427985103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457427986127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457427986129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42990074 + ... + 43000712.

It is an arithmetic number, because the mean of its divisors is an integer number (16847376000).

Almost surely, 2457427986127 is an apocalyptic number.

457427986127 is a deficient number, since it is larger than the sum of its proper divisors (81688045873).

457427986127 is a wasteful number, since it uses less digits than its factorization.

457427986127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11966 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 62.

The spelling of 457427986127 in words is "four hundred fifty-seven billion, four hundred twenty-seven million, nine hundred eighty-six thousand, one hundred twenty-seven".

Divisors: 1 7 49 103 343 721 1217 5047 8519 10639 35329 59633 74473 125351 417431 521311 877457 1095817 3649177 6142199 7670719 12947663 42995393 53695033 90633641 375865231 634435487 1333609289 4441048409 9335265023 65346855161 457427986127