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6338104113432 = 2337135949187497
BaseRepresentation
bin101110000111011010001…
…1100011011100100011000
3211102220202101002002200210
41130032310130123210120
51312320414123112212
621251403531331120
71222625062026330
oct134166434334430
924386671062623
106338104113432
112023a7a5a1093
1286444a2b0aa0
1336c8b051a790
1417caa17c60c0
15aed0698453c
hex5c3b471b918

6338104113432 has 128 divisors (see below), whose sum is σ = 19832399193600. Its totient is φ = 1643255866368.

The previous prime is 6338104113413. The next prime is 6338104113557. The reversal of 6338104113432 is 2343114018336.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24464893 + ... + 24722604.

It is an arithmetic number, because the mean of its divisors is an integer number (154940618700).

Almost surely, 26338104113432 is an apocalyptic number.

It is an amenable number.

6338104113432 is an abundant number, since it is smaller than the sum of its proper divisors (13494295080168).

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

6338104113432 is a wasteful number, since it uses less digits than its factorization.

6338104113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49187585 (or 49187581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 6338104113432 in words is "six trillion, three hundred thirty-eight billion, one hundred four million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 59 78 84 91 104 118 156 168 177 182 236 273 312 354 364 413 472 546 708 728 767 826 1092 1239 1416 1534 1652 2184 2301 2478 3068 3304 4602 4956 5369 6136 9204 9912 10738 16107 18408 21476 32214 42952 64428 128856 49187497 98374994 147562491 196749988 295124982 344312479 393499976 590249964 639437461 688624958 1032937437 1180499928 1278874922 1377249916 1918312383 2065874874 2557749844 2754499832 2902062323 3836624766 4131749748 4476062227 5115499688 5804124646 7673249532 8263499496 8706186969 8952124454 11608249292 13428186681 15346499064 17412373938 17904248908 20314436261 23216498584 26856373362 34824747876 35808497816 37726810199 40628872522 53712746724 60943308783 69649495752 75453620398 81257745044 107425493448 113180430597 121886617566 150907240796 162515490088 226360861194 243773235132 264087671393 301814481592 452721722388 487546470264 528175342786 792263014179 905443444776 1056350685572 1584526028358 2112701371144 3169052056716 6338104113432