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56141376720 = 243511213148711
BaseRepresentation
bin110100010010010010…
…010110110011010000
312100220120220102200220
4310102102112303100
51404434143023340
641442504313040
74025143554102
oct642222266320
9170816812626
1056141376720
112189a386300
12aa69772780
1353a9208650
142a08221572
1516d8b06ed0
hexd12496cd0

56141376720 has 240 divisors, whose sum is σ = 206014897536. Its totient is φ = 12563020800.

The previous prime is 56141376713. The next prime is 56141376737. The reversal of 56141376720 is 2767314165.

It is a happy number.

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

It is a congruent number.

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, 303165 + ... + 451875.

Almost surely, 256141376720 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 56141376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103007448768).

56141376720 is an abundant number, since it is smaller than the sum of its proper divisors (149873520816).

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

56141376720 is a wasteful number, since it uses less digits than its factorization.

56141376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148762 (or 148745 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 56141376720 in words is "fifty-six billion, one hundred forty-one million, three hundred seventy-six thousand, seven hundred twenty".