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1364466816 = 2733394811
BaseRepresentation
bin101000101010100…
…0001110010000000
310112002111002121000
41101111001302000
510243300414231
6343221132000
745545530236
oct12125016200
93462432530
101364466816
1164022a129
12320b5a000
131898ba11b
14cd302956
157ebc66e6
hex51541c80

1364466816 has 64 divisors (see below), whose sum is σ = 4027082400. Its totient is φ = 454821120.

The previous prime is 1364466811. The next prime is 1364466877. The reversal of 1364466816 is 6186644631.

1364466816 is a `hidden beast` number, since 136 + 446 + 68 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1364466811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193950 + ... + 200861.

Almost surely, 21364466816 is an apocalyptic number.

1364466816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1364466816 is an abundant number, since it is smaller than the sum of its proper divisors (2662615584).

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

1364466816 is an equidigital number, since it uses as much as digits as its factorization.

1364466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394834 (or 394816 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1364466816 is about 36938.6899605278. The cubic root of 1364466816 is about 1109.1432980587.

The spelling of 1364466816 in words is "one billion, three hundred sixty-four million, four hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 394811 789622 1184433 1579244 2368866 3158488 3553299 4737732 6316976 7106598 9475464 10659897 12633952 14213196 18950928 21319794 25267904 28426392 37901856 42639588 50535808 56852784 75803712 85279176 113705568 151607424 170558352 227411136 341116704 454822272 682233408 1364466816