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54713659104 = 25321314613691
BaseRepresentation
bin110010111101001100…
…000010111011100000
312020020002101212022200
4302331030002323200
51344023144042404
641045103333200
73644566300056
oct627514027340
9166202355280
1054713659104
1121227485995
12a72b5b1200
13520c4a3a20
1429107761d6
1516535d9839
hexcbd302ee0

54713659104 has 72 divisors (see below), whose sum is σ = 167560592472. Its totient is φ = 16834970880.

The previous prime is 54713659103. The next prime is 54713659139. The reversal of 54713659104 is 40195631745.

54713659104 is a `hidden beast` number, since 5 + 47 + 13 + 6 + 591 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54713659104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54713659103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7303102 + ... + 7310589.

It is an arithmetic number, because the mean of its divisors is an integer number (2327230451).

Almost surely, 254713659104 is an apocalyptic number.

It is an amenable number.

54713659104 is an abundant number, since it is smaller than the sum of its proper divisors (112846933368).

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

54713659104 is a wasteful number, since it uses less digits than its factorization.

54713659104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613720 (or 14613709 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54713659104 in words is "fifty-four billion, seven hundred thirteen million, six hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14613691 29227382 43841073 58454764 87682146 116909528 131523219 175364292 189977983 233819056 263046438 350728584 379955966 467638112 526092876 569933949 701457168 759911932 1052185752 1139867898 1402914336 1519823864 1709801847 2104371504 2279735796 3039647728 3419603694 4208743008 4559471592 6079295456 6839207388 9118943184 13678414776 18237886368 27356829552 54713659104