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55601842176 = 21134571587
BaseRepresentation
bin110011110010001000…
…001100100000000000
312022111222200020110000
4303302020030200000
51402333032422201
641313152240000
74005602601066
oct636210144000
9168458606400
1055601842176
1121642876a91
12a938b40000
1353214c083a
1429966d8036
1516a657ed86
hexcf220c800

55601842176 has 240 divisors, whose sum is σ = 166652806320. Its totient is φ = 18469969920.

The previous prime is 55601842169. The next prime is 55601842207. The reversal of 55601842176 is 67124810655.

55601842176 is a `hidden beast` number, since 5 + 560 + 1 + 84 + 2 + 1 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94721755 + ... + 94722341.

It is an arithmetic number, because the mean of its divisors is an integer number (694386693).

Almost surely, 255601842176 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 55601842176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83326403160).

55601842176 is an abundant number, since it is smaller than the sum of its proper divisors (111050964144).

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

55601842176 is an equidigital number, since it uses as much as digits as its factorization.

55601842176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 55601842176 in words is "fifty-five billion, six hundred one million, eight hundred forty-two thousand, one hundred seventy-six".