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5590037664 = 25336469951
BaseRepresentation
bin1010011010011000…
…10011010010100000
3112102120122100002000
411031030103102200
542422022201124
62322405524000
7255345351621
oct51514232240
915376570060
105590037664
112409481042
121100113600
136b1179ac3
143b05b3a48
1522ab576c9
hex14d3134a0

5590037664 has 48 divisors (see below), whose sum is σ = 16304279040. Its totient is φ = 1863345600.

The previous prime is 5590037639. The next prime is 5590037729. The reversal of 5590037664 is 4667300955.

5590037664 is a `hidden beast` number, since 559 + 0 + 0 + 37 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3234112 + ... + 3235839.

It is an arithmetic number, because the mean of its divisors is an integer number (339672480).

Almost surely, 25590037664 is an apocalyptic number.

5590037664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5590037664 is an abundant number, since it is smaller than the sum of its proper divisors (10714241376).

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

5590037664 is a wasteful number, since it uses less digits than its factorization.

5590037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469970 (or 6469956 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5590037664 is about 74766.5544478278. The cubic root of 5590037664 is about 1774.7543310331.

The spelling of 5590037664 in words is "five billion, five hundred ninety million, thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6469951 12939902 19409853 25879804 38819706 51759608 58229559 77639412 103519216 116459118 155278824 174688677 207038432 232918236 310557648 349377354 465836472 621115296 698754708 931672944 1397509416 1863345888 2795018832 5590037664