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10091009160 = 233453114509
BaseRepresentation
bin10010110010111100…
…01001010010001000
3222001021000101020000
421121132021102020
5131131244243120
64345153203000
7505031106531
oct113136112210
928037011200
1010091009160
1143091255a1
121b57560460
13c4a80384b
146ba293688
153e0d88990
hex259789488

10091009160 has 80 divisors (see below), whose sum is σ = 33917013900. Its totient is φ = 2690934912.

The previous prime is 10091009111. The next prime is 10091009161. The reversal of 10091009160 is 6190019001.

It can be written as a sum of positive squares in 2 ways, for example, as 9768950244 + 322058916 = 98838^2 + 17946^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10091009161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1554015 + ... + 1560494.

Almost surely, 210091009160 is an apocalyptic number.

10091009160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10091009160 is an abundant number, since it is smaller than the sum of its proper divisors (23826004740).

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

10091009160 is a wasteful number, since it uses less digits than its factorization.

10091009160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114532 (or 3114519 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 10091009160 in words is "ten billion, ninety-one million, nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3114509 6229018 9343527 12458036 15572545 18687054 24916072 28030581 31145090 37374108 46717635 56061162 62290180 74748216 84091743 93435270 112122324 124580360 140152905 168183486 186870540 224244648 252275229 280305810 336366972 373741080 420458715 504550458 560611620 672733944 840917430 1009100916 1121223240 1261376145 1681834860 2018201832 2522752290 3363669720 5045504580 10091009160