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16384798311616 = 267137266957741
BaseRepresentation
bin1110111001101110001000…
…0101010100010011000000
32011000101000202200101120201
43232123202011110103000
54121422031331432431
654503023351214544
73310522401501340
oct356334205242300
964011022611521
1016384798311616
115247832550339
121a07597977454
1391b106581967
14409058198d20
151d6315e20461
hexee6e21544c0

16384798311616 has 56 divisors (see below), whose sum is σ = 37429611090336. Its totient is φ = 6970800506880.

The previous prime is 16384798311593. The next prime is 16384798311617. The reversal of 16384798311616 is 61611389748361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (16384798311617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133417495 + ... + 133540246.

Almost surely, 216384798311616 is an apocalyptic number.

16384798311616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16384798311616 is an abundant number, since it is smaller than the sum of its proper divisors (21044812778720).

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

16384798311616 is a wasteful number, since it uses less digits than its factorization.

16384798311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266957897 (or 266957887 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

The spelling of 16384798311616 in words is "sixteen trillion, three hundred eighty-four billion, seven hundred ninety-eight million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 448 548 959 1096 1918 2192 3836 4384 7672 8768 15344 30688 61376 266957741 533915482 1067830964 1868704187 2135661928 3737408374 4271323856 7474816748 8542647712 14949633496 17085295424 29899266992 36573210517 59798533984 73146421034 119597067968 146292842068 256012473619 292585684136 512024947238 585171368272 1024049894476 1170342736544 2048099788952 2340685473088 4096199577904 8192399155808 16384798311616