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10004541104 = 242322940759
BaseRepresentation
bin10010101000101000…
…10010111010110000
3221211020022100100102
421110110102322300
5130442130303404
64332424011532
7502631124215
oct112424227260
927736270312
1010004541104
114274336898
121b32600ba8
13c3591a40c
146ac9c5b0c
153d84a871e
hex254512eb0

10004541104 has 60 divisors (see below), whose sum is σ = 20962460400. Its totient is φ = 4619674752.

The previous prime is 10004541097. The next prime is 10004541109. The reversal of 10004541104 is 40114540001.

It is a super-3 number, since 3×100045411043 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10004541109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225077 + ... + 265835.

It is an arithmetic number, because the mean of its divisors is an integer number (349374340).

Almost surely, 210004541104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004541104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481230200).

10004541104 is an abundant number, since it is smaller than the sum of its proper divisors (10957919296).

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

10004541104 is a wasteful number, since it uses less digits than its factorization.

10004541104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40842 (or 40813 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 10004541104 in words is "ten billion, four million, five hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 529 667 1058 1334 2116 2668 4232 5336 8464 10672 15341 30682 40759 61364 81518 122728 163036 245456 326072 652144 937457 1182011 1874914 2364022 3749828 4728044 7499656 9456088 14999312 18912176 21561511 27186253 43123022 54372506 86246044 108745012 172492088 217490024 344984176 434980048 625283819 1250567638 2501135276 5002270552 10004541104