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41929513488 = 2433537125793
BaseRepresentation
bin100111000011001100…
…011001101000010000
311000020010202222102000
4213003030121220100
51141332423412423
631132342554000
73013023661362
oct470314315020
9130203688360
1041929513488
1116867132095
128162138900
133c52a4a815
14205a958d32
1511560c4843
hex9c3319a10

41929513488 has 160 divisors (see below), whose sum is σ = 124355969280. Its totient is φ = 13519134720.

The previous prime is 41929513349. The next prime is 41929513499. The reversal of 41929513488 is 88431592914.

It is a happy number.

41929513488 is a `hidden beast` number, since 4 + 1 + 9 + 295 + 1 + 348 + 8 = 666.

It is a super-2 number, since 2×419295134882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1612720 + ... + 1638512.

It is an arithmetic number, because the mean of its divisors is an integer number (777224808).

Almost surely, 241929513488 is an apocalyptic number.

41929513488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41929513488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62177984640).

41929513488 is an abundant number, since it is smaller than the sum of its proper divisors (82426455792).

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

41929513488 is a wasteful number, since it uses less digits than its factorization.

41929513488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25934 (or 25922 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 41929513488 in words is "forty-one billion, nine hundred twenty-nine million, five hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 71 72 106 108 142 144 159 212 213 216 284 318 424 426 432 477 568 636 639 848 852 954 1136 1272 1278 1431 1704 1908 1917 2544 2556 2862 3408 3763 3816 3834 5112 5724 7526 7632 7668 10224 11289 11448 15052 15336 22578 22896 25793 30104 30672 33867 45156 51586 60208 67734 77379 90312 101601 103172 135468 154758 180624 203202 206344 232137 270936 309516 406404 412688 464274 541872 619032 696411 812808 928548 1238064 1367029 1392822 1625616 1831303 1857096 2734058 2785644 3662606 3714192 4101087 5468116 5493909 5571288 7325212 8202174 10936232 10987818 11142576 12303261 14650424 16404348 16481727 21872464 21975636 24606522 29300848 32808696 32963454 36909783 43951272 49213044 49445181 65617392 65926908 73819566 87902544 97059059 98426088 98890362 131853816 147639132 194118118 196852176 197780724 263707632 291177177 295278264 388236236 395561448 582354354 590556528 776472472 791122896 873531531 1164708708 1552944944 1747063062 2329417416 2620594593 3494126124 4658834832 5241189186 6988252248 10482378372 13976504496 20964756744 41929513488