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55395010944 = 273571319571
BaseRepresentation
bin110011100101110011…
…001100100110000000
312021222120111010100000
4303211303030212000
51401422110322234
641240443200000
74000511552430
oct634563144600
9167876433300
1055395010944
1121547048689
12a89b816000
1352ba6b40b0
1429770582c0
151693326899
hexce5ccc980

55395010944 has 384 divisors, whose sum is σ = 203467380480. Its totient is φ = 14608926720.

The previous prime is 55395010933. The next prime is 55395010973. The reversal of 55395010944 is 44901059355.

55395010944 is a `hidden beast` number, since 5 + 53 + 9 + 501 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×553950109442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55395010944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2820679 + ... + 2840249.

It is an arithmetic number, because the mean of its divisors is an integer number (529862970).

Almost surely, 255395010944 is an apocalyptic number.

55395010944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55395010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101733690240).

55395010944 is an abundant number, since it is smaller than the sum of its proper divisors (148072369536).

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

55395010944 is a wasteful number, since it uses less digits than its factorization.

55395010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19620 (or 19596 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 55395010944 in words is "fifty-five billion, three hundred ninety-five million, ten thousand, nine hundred forty-four".