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54707600130 = 23523293477879
BaseRepresentation
bin110010111100110100…
…111011101100000010
312020012200000000222020
4302330310323230002
51344020121201010
641044325422310
73644463633321
oct627464735402
9166180000866
1054707600130
1121224017777
12a72956a996
13520b161c31
14290da3a0b8
151652cde470
hexcbcd3bb02

54707600130 has 128 divisors (see below), whose sum is σ = 142157721600. Its totient is φ = 13432683264.

The previous prime is 54707600117. The next prime is 54707600131. The reversal of 54707600130 is 3100670745.

It is a junction number, because it is equal to n+sod(n) for n = 54707600091 and 54707600100.

It is not an unprimeable number, because it can be changed into a prime (54707600131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6939531 + ... + 6947409.

It is an arithmetic number, because the mean of its divisors is an integer number (1110607200).

Almost surely, 254707600130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54707600130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71078860800).

54707600130 is an abundant number, since it is smaller than the sum of its proper divisors (87450121470).

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

54707600130 is a wasteful number, since it uses less digits than its factorization.

54707600130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288.

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 54707600130 in words is "fifty-four billion, seven hundred seven million, six hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 347 435 667 690 694 870 1041 1334 1735 2001 2082 3335 3470 4002 5205 6670 7879 7981 10005 10063 10410 15758 15962 20010 20126 23637 23943 30189 39395 39905 47274 47886 50315 60378 78790 79810 100630 118185 119715 150945 181217 228491 231449 236370 239430 301890 362434 456982 462898 543651 685473 694347 906085 1087302 1142455 1157245 1370946 1388694 1812170 2284910 2314490 2718255 2734013 3427365 3471735 5255293 5436510 5468026 6854730 6943470 8202039 10510586 13670065 15765879 16404078 26276465 27340130 31531758 41010195 52552930 62882299 78829395 79286377 82020390 125764598 157658790 158572754 188646897 237859131 314411495 377293794 396431885 475718262 628822990 792863770 943234485 1189295655 1823586671 1886468970 2378591310 3647173342 5470760013 9117933355 10941520026 18235866710 27353800065 54707600130