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797268056555520 = 214325117111312253
BaseRepresentation
bin1011010101000111000110111…
…1010011010100000000000000
310212112220002012122221212120100
42311101301233103110000000
51313444414434434234040
611503351520000442400
7326634500446502424
oct26521615723240000
93775802178855510
10797268056555520
11211041536210220
1275503a83019400
13282b309419a274
14100c3da091ab84
156228b89b5cb30
hex2d51c6f4d4000

797268056555520 has 1440 divisors, whose sum is σ = 3084805266326784. Its totient is φ = 188853151334400.

The previous prime is 797268056555489. The next prime is 797268056555521. The reversal of 797268056555520 is 25555650862797.

797268056555520 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 6 + 8 + 0 + 5 + 65 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797268056555521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65067165714 + ... + 65067177966.

Almost surely, 2797268056555520 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 797268056555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542402633163392).

797268056555520 is an abundant number, since it is smaller than the sum of its proper divisors (2287537209771264).

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

797268056555520 is a wasteful number, since it uses less digits than its factorization.

797268056555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12487 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 1587600000, while the sum is 72.

The spelling of 797268056555520 in words is "seven hundred ninety-seven trillion, two hundred sixty-eight billion, fifty-six million, five hundred fifty-five thousand, five hundred twenty".