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10133376768 = 28327955673
BaseRepresentation
bin10010110111111111…
…10000111100000000
3222011012201212122200
421123333300330000
5131223121024033
64353305233200
7506054165334
oct113377607400
928135655580
1010133376768
114330032a49
121b69792800
13c56518c38
146c1b617c4
153e4957013
hex25bff0f00

10133376768 has 108 divisors (see below), whose sum is σ = 29587390560. Its totient is φ = 3334975488.

The previous prime is 10133376733. The next prime is 10133376811. The reversal of 10133376768 is 86767333101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154180 + ... + 209852.

It is an arithmetic number, because the mean of its divisors is an integer number (273957320).

Almost surely, 210133376768 is an apocalyptic number.

10133376768 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 10133376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793695280).

10133376768 is an abundant number, since it is smaller than the sum of its proper divisors (19454013792).

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

10133376768 is an equidigital number, since it uses as much as digits as its factorization.

10133376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55774 (or 55757 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10133376768 in words is "ten billion, one hundred thirty-three million, three hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 576 632 711 768 948 1152 1264 1422 1896 2304 2528 2844 3792 5056 5688 7584 10112 11376 15168 20224 22752 30336 45504 55673 60672 91008 111346 167019 182016 222692 334038 445384 501057 668076 890768 1002114 1336152 1781536 2004228 2672304 3563072 4008456 4398167 5344608 7126144 8016912 8796334 10689216 13194501 14252288 16033824 17592668 21378432 26389002 32067648 35185336 39583503 42756864 52778004 64135296 70370672 79167006 105556008 128270592 140741344 158334012 211112016 281482688 316668024 422224032 562965376 633336048 844448064 1125930752 1266672096 1688896128 2533344192 3377792256 5066688384 10133376768