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54113411205 = 37571076607
BaseRepresentation
bin110010011001011010…
…010010000010000101
312011200020221010000000
4302121122102002011
51341311013124310
640505342111513
73623660256150
oct623132220205
9164606833000
1054113411205
1120a49678847
12a5a257b599
13514501c359
142894b66c97
15161aa6d4c0
hexc99692085

54113411205 has 128 divisors (see below), whose sum is σ = 112359260160. Its totient is φ = 24502658112.

The previous prime is 54113411203. The next prime is 54113411221. The reversal of 54113411205 is 50211431145.

54113411205 is a `hidden beast` number, since 5 + 41 + 1 + 3 + 411 + 205 = 666.

It is not a de Polignac number, because 54113411205 - 21 = 54113411203 is a prime.

It is a super-2 number, since 2×541134112052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54113411203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8187012 + ... + 8193618.

It is an arithmetic number, because the mean of its divisors is an integer number (877806720).

Almost surely, 254113411205 is an apocalyptic number.

It is an amenable number.

54113411205 is an abundant number, since it is smaller than the sum of its proper divisors (58245848955).

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

54113411205 is an equidigital number, since it uses as much as digits as its factorization.

54113411205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 54113411205 in words is "fifty-four billion, one hundred thirteen million, four hundred eleven thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 107 135 189 243 315 321 405 535 567 729 749 945 963 1215 1605 1701 2187 2247 2835 2889 3645 3745 4815 5103 6607 6741 8505 8667 10935 11235 14445 15309 19821 20223 25515 26001 33035 33705 43335 46249 59463 60669 76545 78003 99105 101115 130005 138747 178389 182007 231245 234009 297315 303345 390015 416241 535167 546021 693735 706949 891945 910035 1170045 1248723 1605501 1638063 2081205 2120847 2675835 2730105 3534745 3746169 4816503 4948643 6243615 6362541 8027505 8190315 10604235 11238507 14449509 14845929 18730845 19087623 24082515 24743215 31812705 33715521 44537787 56192535 57262869 72247545 74229645 95438115 101146563 133613361 168577605 171788607 222688935 286314345 400840083 505732815 515365821 668066805 858943035 1202520249 1546097463 2004200415 2576829105 3607560747 6012601245 7730487315 10822682241 18037803735 54113411205