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54950861056 = 2874132232
BaseRepresentation
bin110011001011010100…
…111001100100000000
312020211121201222020011
4303023110321210000
51400014410023211
641124415354304
73653506420000
oct631324714400
9166747658204
1054950861056
1121339368263
12a796b22994
135249685100
142934080000
151669341921
hexccb539900

54950861056 has 405 divisors, whose sum is σ = 144847241889. Its totient is φ = 20793636864.

The previous prime is 54950861041. The next prime is 54950861087. The reversal of 54950861056 is 65016805945.

The square root of 54950861056 is 234416.

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

It can be written as a sum of positive squares in only one way, i.e., 8128825600 + 46822035456 = 90160^2 + 216384^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2389167861 + ... + 2389167883.

Almost surely, 254950861056 is an apocalyptic number.

54950861056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

54950861056 is the 234416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54950861056

54950861056 is an abundant number, since it is smaller than the sum of its proper divisors (89896380833).

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

54950861056 is an frugal number, since it uses more digits than its factorization.

54950861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 54950861056 by its sum of digits (49), we get a square (2692592191744 = 16409122).

54950861056 divided by its sum of digits (49) gives a square (1121446144 = 334882).

The spelling of 54950861056 in words is "fifty-four billion, nine hundred fifty million, eight hundred sixty-one thousand, fifty-six".