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53913223440 = 24325313476961
BaseRepresentation
bin110010001101011110…
…101000000100010000
312011011022020112000100
4302031132220010100
51340403241122230
640433431252400
73616006560306
oct621536500420
9164138215010
1053913223440
112095667780a
12a54751a100
1351126ca75b
142876336276
1516081c8660
hexc8d7a8110

53913223440 has 240 divisors, whose sum is σ = 187464715776. Its totient is φ = 13871001600.

The previous prime is 53913223423. The next prime is 53913223451. The reversal of 53913223440 is 4432231935.

53913223440 is a `hidden beast` number, since 5 + 391 + 3 + 223 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 53913223395 and 53913223404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7741560 + ... + 7748520.

Almost surely, 253913223440 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 53913223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93732357888).

53913223440 is an abundant number, since it is smaller than the sum of its proper divisors (133551492336).

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

53913223440 is a wasteful number, since it uses less digits than its factorization.

53913223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 53913223440 in words is "fifty-three billion, nine hundred thirteen million, two hundred twenty-three thousand, four hundred forty".