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5664136752 = 2432113587593
BaseRepresentation
bin1010100011001101…
…11101111000110000
3112121202001221220200
411101212331320300
543100004334002
62334014035200
7260235240141
oct52146757060
915552057820
105664136752
11244729185a
121120aa8b00
136c3622311
143ba381ac8
152323e2b1c
hex1519bde30

5664136752 has 120 divisors (see below), whose sum is σ = 16046254224. Its totient is φ = 1864998912.

The previous prime is 5664136733. The next prime is 5664136771. The reversal of 5664136752 is 2576314665.

5664136752 is a `hidden beast` number, since 566 + 4 + 1 + 36 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5664136733) and next prime (5664136771).

5664136752 is a modest number, since divided by 136752 gives 5664 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 5664136698 and 5664136707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9551368 + ... + 9551960.

Almost surely, 25664136752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664136752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023127112).

5664136752 is an abundant number, since it is smaller than the sum of its proper divisors (10382117472).

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

5664136752 is a wasteful number, since it uses less digits than its factorization.

5664136752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5664136752 is about 75260.4594192727. The cubic root of 5664136752 is about 1782.5617232498.

The spelling of 5664136752 in words is "five billion, six hundred sixty-four million, one hundred thirty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 587 593 678 904 1017 1174 1186 1356 1761 1779 1808 2034 2348 2372 2712 3522 3558 4068 4696 4744 5283 5337 5424 7044 7116 8136 9392 9488 10566 10674 14088 14232 16272 21132 21348 28176 28464 42264 42696 66331 67009 84528 85392 132662 134018 198993 201027 265324 268036 348091 397986 402054 530648 536072 596979 603081 696182 795972 804108 1044273 1061296 1072144 1193958 1206162 1392364 1591944 1608216 2088546 2387916 2412324 2784728 3132819 3183888 3216432 4177092 4775832 4824648 5569456 6265638 8354184 9551664 9649296 12531276 16708368 25062552 39334283 50125104 78668566 118002849 157337132 236005698 314674264 354008547 472011396 629348528 708017094 944022792 1416034188 1888045584 2832068376 5664136752