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55907656704 = 210348212
BaseRepresentation
bin110100000100010110…
…110010010000000000
312100022022010020010000
4310010112302100000
51403444330003304
641403355040000
74016305145454
oct640426622000
9170268106100
1055907656704
112178a461a69
12aa03440000
13536c976093
1429c5182664
1516c333b939
hexd045b2400

55907656704 has 165 divisors, whose sum is σ = 167154791881. Its totient is φ = 18613186560.

The previous prime is 55907656669. The next prime is 55907656711. The reversal of 55907656704 is 40765670955.

The square root of 55907656704 is 236448.

It is a perfect power (a square), and thus also a powerful number.

55907656704 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 76 + 567 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15265096704 + 40642560000 = 123552^2 + 201600^2 .

It is a super-2 number, since 2×559076567042 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 68096614 + ... + 68097434.

Almost surely, 255907656704 is an apocalyptic number.

55907656704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55907656704 is the 236448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55907656704

55907656704 is an abundant number, since it is smaller than the sum of its proper divisors (111247135177).

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

55907656704 is an frugal number, since it uses more digits than its factorization.

55907656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 55907656704 in words is "fifty-five billion, nine hundred seven million, six hundred fifty-six thousand, seven hundred four".