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54553018104 = 23331333757649
BaseRepresentation
bin110010110011100111…
…001111111011111000
312012210220010110022000
4302303213033323320
51343211033034404
641021124301000
73640606001004
oct626347177370
9165726113260
1054553018104
1121154835a32
12a6a5841760
1351b511a590
1428d72bb704
151644457339
hexcb39cfef8

54553018104 has 128 divisors (see below), whose sum is σ = 163679880000. Its totient is φ = 16735444992.

The previous prime is 54553018081. The next prime is 54553018109. The reversal of 54553018104 is 40181035545.

54553018104 is a `hidden beast` number, since 5 + 4 + 5 + 530 + 18 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54553018109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917472 + ... + 975120.

Almost surely, 254553018104 is an apocalyptic number.

54553018104 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 54553018104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81839940000).

54553018104 is an abundant number, since it is smaller than the sum of its proper divisors (109126861896).

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

54553018104 is a wasteful number, since it uses less digits than its factorization.

54553018104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58014 (or 58004 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 54553018104 in words is "fifty-four billion, five hundred fifty-three million, eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 337 351 468 674 702 936 1011 1348 1404 2022 2696 2808 3033 4044 4381 6066 8088 8762 9099 12132 13143 17524 18198 24264 26286 35048 36396 39429 52572 57649 72792 78858 105144 115298 118287 157716 172947 230596 236574 315432 345894 461192 473148 518841 691788 749437 946296 1037682 1383576 1498874 1556523 2075364 2248311 2997748 3113046 4150728 4496622 5995496 6226092 6744933 8993244 12452184 13489866 17986488 19427713 20234799 26979732 38855426 40469598 53959464 58283139 77710852 80939196 116566278 155421704 161878392 174849417 233132556 252560269 349698834 466265112 505120538 524548251 699397668 757680807 1010241076 1049096502 1398795336 1515361614 2020482152 2098193004 2273042421 3030723228 4196386008 4546084842 6061446456 6819127263 9092169684 13638254526 18184339368 27276509052 54553018104