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1312307549568 = 27321139155859
BaseRepresentation
bin10011000110001011101…
…000000001010110000000
311122110021222011202021100
4103012023220001112000
5133000101213041233
62442511001054400
7163545130060161
oct23061350012600
94573258152240
101312307549568
11466601444364
12192401187400
1396999ba1152
1447731d83768
1524209696813
hex1318ba01580

1312307549568 has 48 divisors (see below), whose sum is σ = 3776301675900. Its totient is φ = 437435849472.

The previous prime is 1312307549557. The next prime is 1312307549599. The reversal of 1312307549568 is 8659457032131.

It is a happy number.

1312307549568 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 0 + 75 + 4 + 9 + 568 = 666.

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

It is a super-2 number, since 2×13123075495682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569576778 + ... + 569579081.

It is a 1-persistent number, because it is pandigital, but 2⋅1312307549568 = 2624615099136 is not.

Almost surely, 21312307549568 is an apocalyptic number.

1312307549568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1312307549568 is an abundant number, since it is smaller than the sum of its proper divisors (2463994126332).

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

1312307549568 is a wasteful number, since it uses less digits than its factorization.

1312307549568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139155879 (or 1139155864 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1312307549568 in words is "one trillion, three hundred twelve billion, three hundred seven million, five hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1139155859 2278311718 3417467577 4556623436 6834935154 9113246872 10252402731 13669870308 18226493744 20504805462 27339740616 36452987488 41009610924 54679481232 72905974976 82019221848 109358962464 145811949952 164038443696 218717924928 328076887392 437435849856 656153774784 1312307549568