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56497098240 = 2934511173147
BaseRepresentation
bin110100100111011111…
…010100111000000000
312101211101020221220000
4310213133110320000
51411201224120430
641542052520000
74040023261062
oct644737247000
9171741227800
1056497098240
1121a62159130
12ab48920000
135434b15b5b
142a3d57b732
151709e70e60
hexd277d4e00

56497098240 has 1600 divisors, whose sum is σ = 246409371648. Its totient is φ = 12209356800.

The previous prime is 56497098233. The next prime is 56497098263. The reversal of 56497098240 is 4289079465.

56497098240 is a `hidden beast` number, since 564 + 9 + 70 + 9 + 8 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×564970982402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1202065897 + ... + 1202065943.

Almost surely, 256497098240 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 56497098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123204685824).

56497098240 is an abundant number, since it is smaller than the sum of its proper divisors (189912273408).

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

56497098240 is a wasteful number, since it uses less digits than its factorization.

56497098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56497098240 in words is "fifty-six billion, four hundred ninety-seven million, ninety-eight thousand, two hundred forty".