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14465271264 = 253229365713
BaseRepresentation
bin11010111100011001…
…01000010111100000
31101100002221220202120
431132030220113200
5214111102140024
610351212544240
71021314530343
oct153614502740
941302856676
1014465271264
1161532a5444
122978482080
131496b24812
149b31cc45a
15599ddb479
hex35e3285e0

14465271264 has 48 divisors (see below), whose sum is σ = 37988474832. Its totient is φ = 4819580928.

The previous prime is 14465271241. The next prime is 14465271277. The reversal of 14465271264 is 46217256441.

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

It is a super-2 number, since 2×144652712642 (a number of 21 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 7 ways as a sum of consecutive naturals, for example, 187272 + ... + 252984.

It is an arithmetic number, because the mean of its divisors is an integer number (791426559).

Almost surely, 214465271264 is an apocalyptic number.

It is an amenable number.

14465271264 is an abundant number, since it is smaller than the sum of its proper divisors (23523203568).

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

14465271264 is a wasteful number, since it uses less digits than its factorization.

14465271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68019 (or 68011 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 14465271264 in words is "fourteen billion, four hundred sixty-five million, two hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2293 4586 6879 9172 13758 18344 27516 36688 55032 65713 73376 110064 131426 197139 220128 262852 394278 525704 788556 1051408 1577112 2102816 3154224 6308448 150679909 301359818 452039727 602719636 904079454 1205439272 1808158908 2410878544 3616317816 4821757088 7232635632 14465271264