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109634420376 = 23331370155697
BaseRepresentation
bin110011000011010111…
…0000111111010011000
3101110222121111121102000
41212012232013322120
53244012402423001
6122210530041000
710630562124435
oct1460656077230
9343877447360
10109634420376
114254a854798
12192b8419160
13a45284a5c0
14544081cb8c
152cb9e82a86
hex1986b87e98

109634420376 has 128 divisors (see below), whose sum is σ = 328439966400. Its totient is φ = 33684940800.

The previous prime is 109634420359. The next prime is 109634420377. The reversal of 109634420376 is 673024436901.

109634420376 is a `hidden beast` number, since 1 + 0 + 9 + 634 + 4 + 2 + 0 + 3 + 7 + 6 = 666.

109634420376 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1096344203762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109634420377) 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 31 ways as a sum of consecutive naturals, for example, 1940560 + ... + 1996256.

Almost surely, 2109634420376 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 109634420376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164219983200).

109634420376 is an abundant number, since it is smaller than the sum of its proper divisors (218805546024).

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

109634420376 is a wasteful number, since it uses less digits than its factorization.

109634420376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56426 (or 56416 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 109634420376 in words is "one hundred nine billion, six hundred thirty-four million, four hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 701 702 936 1402 1404 2103 2804 2808 4206 5608 6309 8412 9113 12618 16824 18226 18927 25236 27339 36452 37854 50472 54678 55697 72904 75708 82017 109356 111394 151416 164034 167091 218712 222788 246051 328068 334182 445576 492102 501273 656136 668364 724061 984204 1002546 1336728 1448122 1503819 1968408 2005092 2172183 2896244 3007638 4010184 4344366 5792488 6015276 6516549 8688732 12030552 13033098 17377464 19549647 26066196 39043597 39099294 52132392 78087194 78198588 117130791 156174388 156397176 234261582 312348776 351392373 468523164 507566761 702784746 937046328 1015133522 1054177119 1405569492 1522700283 2030267044 2108354238 2811138984 3045400566 4060534088 4216708476 4568100849 6090801132 8433416952 9136201698 12181602264 13704302547 18272403396 27408605094 36544806792 54817210188 109634420376