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55992810384 = 2436723132
BaseRepresentation
bin110100001001011011…
…100111101110010000
312100112020100111000000
4310021123213232100
51404133124413014
641420040130000
74021361015100
oct641133475620
9170466314000
1055992810384
1121823533205
12aa27a66900
1353844bc184
1429d25cb200
1516caa5c509
hexd096e7b90

55992810384 has 315 divisors, whose sum is σ = 189817004673. Its totient is φ = 15946834176.

The previous prime is 55992810353. The next prime is 55992810397. The reversal of 55992810384 is 48301829955.

The square root of 55992810384 is 236628.

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

55992810384 is a `hidden beast` number, since 5 + 599 + 2 + 8 + 10 + 38 + 4 = 666.

55992810384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 357210000 + 55635600384 = 18900^2 + 235872^2 .

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 self number, because there is not a number n which added to its sum of digits gives 55992810384.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 178890612 + ... + 178890924.

Almost surely, 255992810384 is an apocalyptic number.

55992810384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55992810384 is the 236628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55992810384

55992810384 is an abundant number, since it is smaller than the sum of its proper divisors (133824194289).

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

55992810384 is an frugal number, since it uses more digits than its factorization.

55992810384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 55992810384 in words is "fifty-five billion, nine hundred ninety-two million, eight hundred ten thousand, three hundred eighty-four".