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7057501407 = 341143918043
BaseRepresentation
bin1101001001010100…
…01110110011011111
3200012211221012220000
412210222032303133
5103423210021112
63124150425343
7336614525565
oct64452166337
920184835800
107057501407
112aa18592a0
12144b662253
138861b9848
144ad447a35
152b48c67dc
hex1a4a8ecdf

7057501407 has 40 divisors (see below), whose sum is σ = 11527950720. Its totient is φ = 4267293840.

The previous prime is 7057501387. The next prime is 7057501427. The reversal of 7057501407 is 7041057507.

7057501407 is a `hidden beast` number, since 70 + 575 + 0 + 14 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (7057501387) and next prime (7057501427).

It is not a de Polignac number, because 7057501407 - 27 = 7057501279 is a prime.

It is a super-2 number, since 2×70575014072 = 99616652219613959298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7057501427) 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 39 ways as a sum of consecutive naturals, for example, 382128 + ... + 400170.

It is an arithmetic number, because the mean of its divisors is an integer number (288198768).

Almost surely, 27057501407 is an apocalyptic number.

7057501407 is a deficient number, since it is larger than the sum of its proper divisors (4470449313).

7057501407 is a wasteful number, since it uses less digits than its factorization.

7057501407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18505 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 7057501407 is about 84008.9364710684. The cubic root of 7057501407 is about 1918.1548215336.

The spelling of 7057501407 in words is "seven billion, fifty-seven million, five hundred one thousand, four hundred seven".

Divisors: 1 3 9 11 27 33 81 99 297 439 891 1317 3951 4829 11853 14487 18043 35559 43461 54129 130383 162387 198473 391149 487161 595419 1461483 1786257 5358771 7920877 16076313 23762631 71287893 87129647 213863679 261388941 641591037 784166823 2352500469 7057501407