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65552431104 = 211323556447
BaseRepresentation
bin111101000011001110…
…101011100000000000
320021012110110112022200
4331003032223200000
52033222410243404
650040412033200
74510310320326
oct750316534000
9207173415280
1065552431104
11258897027a6
1210855462800
136248b9a994
14325c077d16
151a89e2c839
hexf433ab800

65552431104 has 72 divisors (see below), whose sum is σ = 189327509280. Its totient is φ = 21850804224.

The previous prime is 65552431057. The next prime is 65552431129. The reversal of 65552431104 is 40113425556.

65552431104 is a `hidden beast` number, since 65 + 552 + 4 + 31 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1759792 + ... + 1796655.

It is an arithmetic number, because the mean of its divisors is an integer number (2629548740).

Almost surely, 265552431104 is an apocalyptic number.

65552431104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65552431104 is an abundant number, since it is smaller than the sum of its proper divisors (123775078176).

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

65552431104 is a wasteful number, since it uses less digits than its factorization.

65552431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556475 (or 3556452 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 65552431104 in words is "sixty-five billion, five hundred fifty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 3556447 7112894 10669341 14225788 21338682 28451576 32008023 42677364 56903152 64016046 85354728 113806304 128032092 170709456 227612608 256064184 341418912 455225216 512128368 682837824 910450432 1024256736 1365675648 1820900864 2048513472 2731351296 3641801728 4097026944 5462702592 7283603456 8194053888 10925405184 16388107776 21850810368 32776215552 65552431104