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56010240000 = 2123254111317
BaseRepresentation
bin110100001010011110…
…000111000000000000
312100120110010222221100
4310022132013000000
51404202110140000
641421501454400
74021662120231
oct641236070000
9170513128840
1056010240000
1121832358350
12aa31871400
135387cb2660
1429d4a47088
1516cc351a00
hexd0a787000

56010240000 has 1560 divisors, whose sum is σ = 251485586352. Its totient is φ = 11796480000.

The previous prime is 56010239903. The next prime is 56010240007. The reversal of 56010240000 is 4201065.

It is a happy number.

56010240000 is a `hidden beast` number, since 560 + 102 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56010240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3294719992 + ... + 3294720008.

Almost surely, 256010240000 is an apocalyptic number.

56010240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56010240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742793176).

56010240000 is an abundant number, since it is smaller than the sum of its proper divisors (195475346352).

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

56010240000 is a wasteful number, since it uses less digits than its factorization.

56010240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 56010240000 its reverse (4201065), we get a palindrome (56014441065).

The spelling of 56010240000 in words is "fifty-six billion, ten million, two hundred forty thousand".