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13455233664 = 273269130259
BaseRepresentation
bin11001000011111111…
…01001001010000000
31021201201101200122120
430201333221022000
5210024014434124
610103052204240
7654301412325
oct144177511200
937651350576
1013455233664
115785146224
122736169680
1313657b1932
14918dcab4c
1553b3c5d79
hex321fe9280

13455233664 has 64 divisors (see below), whose sum is σ = 35873604000. Its totient is φ = 4468370432.

The previous prime is 13455233651. The next prime is 13455233677. The reversal of 13455233664 is 46633255431.

It is an interprime number because it is at equal distance from previous prime (13455233651) and next prime (13455233677).

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 38167 + ... + 168425.

Almost surely, 213455233664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13455233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936802000).

13455233664 is an abundant number, since it is smaller than the sum of its proper divisors (22418370336).

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

13455233664 is a wasteful number, since it uses less digits than its factorization.

13455233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130545 (or 130533 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

The spelling of 13455233664 in words is "thirteen billion, four hundred fifty-five million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 269 384 538 807 1076 1614 2152 3228 4304 6456 8608 12912 17216 25824 34432 51648 103296 130259 260518 390777 521036 781554 1042072 1563108 2084144 3126216 4168288 6252432 8336576 12504864 16673152 25009728 35039671 50019456 70079342 105119013 140158684 210238026 280317368 420476052 560634736 840952104 1121269472 1681904208 2242538944 3363808416 4485077888 6727616832 13455233664