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56744129880 = 23335531815477
BaseRepresentation
bin110100110110001101…
…101011010101011000
312102110121002110121000
4310312031223111120
51412202444124010
642022355345000
74046113100664
oct646615532530
9172417073530
1056744129880
1122079644709
12abb75b2160
135474059419
142a642c38a4
1517219ba7c0
hexd3636b558

56744129880 has 256 divisors, whose sum is σ = 193816022400. Its totient is φ = 14761543680.

The previous prime is 56744129879. The next prime is 56744129899. The reversal of 56744129880 is 8892144765.

It is a happy number.

56744129880 is a `hidden beast` number, since 5 + 67 + 4 + 412 + 98 + 80 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10357702 + ... + 10363178.

Almost surely, 256744129880 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 56744129880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96908011200).

56744129880 is an abundant number, since it is smaller than the sum of its proper divisors (137071892520).

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

56744129880 is a wasteful number, since it uses less digits than its factorization.

56744129880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

It can be divided in two parts, 56744 and 129880, that added together give a square (186624 = 4322).

The spelling of 56744129880 in words is "fifty-six billion, seven hundred forty-four million, one hundred twenty-nine thousand, eight hundred eighty".