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104469041088 = 2634151113337
BaseRepresentation
bin110000101001011010…
…1110000111111000000
3100222122121221011010000
41201102311300333000
53202423033303323
6115554210040000
710355561124546
oct1412265607700
9328577834100
10104469041088
114033a060895
12182b6579000
139b0b666959
1450b07cbd96
152ab675ee43
hex1852d70fc0

104469041088 has 140 divisors (see below), whose sum is σ = 309907149552. Its totient is φ = 34797358080.

The previous prime is 104469041081. The next prime is 104469041111. The reversal of 104469041088 is 880140964401.

104469041088 is a `hidden beast` number, since 1 + 0 + 446 + 90 + 41 + 0 + 88 = 666.

104469041088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104469041081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7826356 + ... + 7839692.

Almost surely, 2104469041088 is an apocalyptic number.

104469041088 is a gapful number since it is divisible by the number (18) 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 104469041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154953574776).

104469041088 is an abundant number, since it is smaller than the sum of its proper divisors (205438108464).

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

104469041088 is a wasteful number, since it uses less digits than its factorization.

104469041088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 104469041088 in words is "one hundred four billion, four hundred sixty-nine million, forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1511 1728 2592 3022 4533 5184 6044 9066 12088 13337 13599 18132 24176 26674 27198 36264 40011 40797 48352 53348 54396 72528 80022 81594 96704 106696 108792 120033 122391 145056 160044 163188 213392 217584 240066 244782 290112 320088 326376 360099 426784 435168 480132 489564 640176 652752 720198 853568 870336 960264 979128 1080297 1280352 1305504 1440396 1920528 1958256 2160594 2560704 2611008 2880792 3841056 3916512 4321188 5761584 7682112 7833024 8642376 11523168 17284752 20152207 23046336 34569504 40304414 60456621 69139008 80608828 120913242 161217656 181369863 241826484 322435312 362739726 483652968 544109589 644870624 725479452 967305936 1088219178 1289741248 1450958904 1632328767 1934611872 2176438356 2901917808 3264657534 3869223744 4352876712 5803835616 6529315068 8705753424 11607671232 13058630136 17411506848 26117260272 34823013696 52234520544 104469041088