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113147909264 = 24132417912919
BaseRepresentation
bin110100101100000100…
…1000001010010010000
3101211001110202100002002
41221120021001102100
53323211331044024
6123551320213132
711113624234325
oct1513011012220
9354043670062
10113147909264
1143a93054a15
1219b1900a1a8
13a89272a800
1456952ccb4c
152e236566ae
hex1a58241490

113147909264 has 120 divisors (see below), whose sum is σ = 246271737600. Its totient is φ = 50299591680.

The previous prime is 113147909201. The next prime is 113147909269. The reversal of 113147909264 is 462909741311.

It is not an unprimeable number, because it can be changed into a prime (113147909269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8751797 + ... + 8764715.

It is an arithmetic number, because the mean of its divisors is an integer number (2052264480).

Almost surely, 2113147909264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113147909264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123135868800).

113147909264 is an abundant number, since it is smaller than the sum of its proper divisors (133123828336).

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

113147909264 is a wasteful number, since it uses less digits than its factorization.

113147909264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 113147909264 in words is "one hundred thirteen billion, one hundred forty-seven million, nine hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 79 82 104 158 164 169 208 316 328 338 533 632 656 676 1027 1066 1264 1352 2054 2132 2704 3239 4108 4264 6478 6929 8216 8528 12919 12956 13351 13858 16432 25838 25912 26702 27716 42107 51676 51824 53404 55432 84214 103352 106808 110864 167947 168428 206704 213616 335894 336856 529679 547391 671788 673712 1020601 1059358 1094782 1343576 2041202 2118716 2183311 2189564 2687152 4082404 4237432 4366622 4379128 6885827 8164808 8474864 8733244 8758256 13267813 13771654 16329616 17466488 26535626 27543308 34932976 41844641 53071252 55086616 83689282 89515751 106142504 110173232 167378564 172481569 179031502 212285008 334757128 344963138 358063004 543980333 669514256 689926276 716126008 1087960666 1379852552 1432252016 2175921332 2759705104 4351842664 7071744329 8703685328 14143488658 28286977316 56573954632 113147909264