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5645656134504 = 233335972805841
BaseRepresentation
bin101001000100111101101…
…0101000001001101101000
3201222201102111001010022000
41102021323111001031220
51214444300432301004
620001324552131000
71121612423232051
oct122117325011550
921881374033260
105645656134504
111887344784721
127721ba996a60
1331c4c9853b79
14157373495728
159bcca8d7c39
hex5227b541368

5645656134504 has 64 divisors (see below), whose sum is σ = 15726061872000. Its totient is φ = 1876643331840.

The previous prime is 5645656134493. The next prime is 5645656134523. The reversal of 5645656134504 is 4054316565465.

5645656134504 is a `hidden beast` number, since 5 + 6 + 4 + 56 + 56 + 1 + 34 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36325377 + ... + 36480464.

It is an arithmetic number, because the mean of its divisors is an integer number (245719716750).

Almost surely, 25645656134504 is an apocalyptic number.

5645656134504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5645656134504 is an abundant number, since it is smaller than the sum of its proper divisors (10080405737496).

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

5645656134504 is a wasteful number, since it uses less digits than its factorization.

5645656134504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72806215 (or 72806205 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 5645656134504 in words is "five trillion, six hundred forty-five billion, six hundred fifty-six million, one hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 19386 25848 38772 77544 72805841 145611682 218417523 291223364 436835046 582446728 655252569 873670092 1310505138 1747340184 1965757707 2621010276 3931515414 5242020552 7863030828 15726061656 26137296919 52274593838 78411890757 104549187676 156823781514 209098375352 235235672271 313647563028 470471344542 627295126056 705707016813 940942689084 1411414033626 1881885378168 2822828067252 5645656134504