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1364016768 = 27311093203
BaseRepresentation
bin101000101001101…
…0011111010000000
310112001122020020120
41101103103322000
510243142014033
6343203340240
745541644162
oct12123237200
93461566216
101364016768
1163aa51a94
12320981680
1318979031a
14cd226932
157eb381b3
hex514d3e80

1364016768 has 64 divisors (see below), whose sum is σ = 3627568800. Its totient is φ = 454120448.

The previous prime is 1364016767. The next prime is 1364016781. The reversal of 1364016768 is 8676104631.

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

It is not an unprimeable number, because it can be changed into a prime (1364016761) by changing a digit.

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, 424255 + ... + 427457.

Almost surely, 21364016768 is an apocalyptic number.

It is an amenable number.

1364016768 is an abundant number, since it is smaller than the sum of its proper divisors (2263552032).

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

1364016768 is a wasteful number, since it uses less digits than its factorization.

1364016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1364016768 is about 36932.5976340685. The cubic root of 1364016768 is about 1109.0213401364.

The spelling of 1364016768 in words is "one billion, three hundred sixty-four million, sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1109 2218 3203 3327 4436 6406 6654 8872 9609 12812 13308 17744 19218 25624 26616 35488 38436 51248 53232 70976 76872 102496 106464 141952 153744 204992 212928 307488 409984 425856 614976 1229952 3552127 7104254 10656381 14208508 21312762 28417016 42625524 56834032 85251048 113668064 170502096 227336128 341004192 454672256 682008384 1364016768