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54045131004 = 223218130727017
BaseRepresentation
bin110010010101010101…
…110100000011111100
312011111111110010011200
4302111111310003330
51341141023143004
640454502415500
73622201014414
oct622525640374
9164444403150
1054045131004
1120a14081927
12a583731590
135133b33577
142889a71644
151614a82239
hexc955740fc

54045131004 has 72 divisors (see below), whose sum is σ = 137821411728. Its totient is φ = 17856495360.

The previous prime is 54045130961. The next prime is 54045131011. The reversal of 54045131004 is 40013154045.

It is a happy number.

54045131004 is a `hidden beast` number, since 5 + 40 + 4 + 513 + 100 + 4 = 666.

54045131004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986904 + ... + 2013920.

It is an arithmetic number, because the mean of its divisors is an integer number (1914186274).

Almost surely, 254045131004 is an apocalyptic number.

It is an amenable number.

54045131004 is an abundant number, since it is smaller than the sum of its proper divisors (83776280724).

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

54045131004 is a wasteful number, since it uses less digits than its factorization.

54045131004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27515 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54045131004 its reverse (40013154045), we get a palindrome (94058285049).

The spelling of 54045131004 in words is "fifty-four billion, forty-five million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 181 307 362 543 614 724 921 1086 1228 1629 1842 2172 2763 3258 3684 5526 6516 11052 27017 54034 55567 81051 108068 111134 162102 166701 222268 243153 324204 333402 486306 500103 666804 972612 1000206 2000412 4890077 8294219 9780154 14670231 16588438 19560308 24882657 29340462 33176876 44010693 49765314 58680924 74647971 88021386 99530628 149295942 176042772 298591884 1501253639 3002507278 4503760917 6005014556 9007521834 13511282751 18015043668 27022565502 54045131004