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55918060900 = 22521321721072
BaseRepresentation
bin110100000100111110…
…011110010101100100
312100100000200210222121
4310010332132111210
51404010010422100
641404410035324
74016462450422
oct640476362544
9170300623877
1055918060900
1121795318879
12aa06a18b44
135371b79900
1429c66d0112
1516c41e451a
hexd04f9e564

55918060900 has 243 divisors, whose sum is σ = 140894588289. Its totient is φ = 19250549760.

The previous prime is 55918060879. The next prime is 55918060949. The reversal of 55918060900 is 906081955.

It is a happy number.

The square root of 55918060900 is 236470.

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

55918060900 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 13 ways, for example, as 40724047204 + 15194013696 = 201802^2 + 123264^2 .

It is a super-2 number, since 2×559180609002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 522598647 + ... + 522598753.

Almost surely, 255918060900 is an apocalyptic number.

55918060900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55918060900 is the 236470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55918060900

55918060900 is an abundant number, since it is smaller than the sum of its proper divisors (84976527389).

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

55918060900 is a wasteful number, since it uses less digits than its factorization.

55918060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 55918060900 in words is "fifty-five billion, nine hundred eighteen million, sixty thousand, nine hundred".