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10011846996 = 2233149677919
BaseRepresentation
bin10010101001100000…
…01010100101010100
3221211202001112011000
421110300022211110
5131001013100441
64333244343300
7503050203204
oct112460124524
927752045130
1010011846996
114278476918
121b34b44b30
13c372a7928
146ad968404
153d8e4d2b6
hex254c0a954

10011846996 has 96 divisors (see below), whose sum is σ = 26197920000. Its totient is φ = 3306386304.

The previous prime is 10011846991. The next prime is 10011847019. The reversal of 10011846996 is 69964811001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011846991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10893825 + ... + 10894743.

It is an arithmetic number, because the mean of its divisors is an integer number (272895000).

Almost surely, 210011846996 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 10011846996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098960000).

10011846996 is an abundant number, since it is smaller than the sum of its proper divisors (16186073004).

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

10011846996 is a wasteful number, since it uses less digits than its factorization.

10011846996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10011846996 in words is "ten billion, eleven million, eight hundred forty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 677 894 919 1341 1354 1788 1838 2031 2682 2708 2757 3676 4023 4062 5364 5514 6093 8046 8124 8271 11028 12186 16092 16542 18279 24372 24813 33084 36558 49626 73116 99252 100873 136931 201746 273862 302619 403492 410793 547724 605238 622163 821586 907857 1210476 1232379 1244326 1643172 1815714 1866489 2464758 2488652 2723571 3631428 3697137 3732978 4929516 5447142 5599467 7394274 7465956 10894284 11198934 14788548 16798401 22397868 33596802 67193604 92702287 185404574 278106861 370809148 556213722 834320583 1112427444 1668641166 2502961749 3337282332 5005923498 10011846996