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9990100044 = 22324310696037
BaseRepresentation
bin10010100110111010…
…01101010001001100
3221210020010122221100
421103131031101030
5130424431200134
64331150303100
7502364310051
oct112335152114
927706118840
109990100044
114267173031
121b297b7a90
13c32932302
146aab07028
153d70a4999
hex25374d44c

9990100044 has 72 divisors (see below), whose sum is σ = 25868482640. Its totient is φ = 3249009792.

The previous prime is 9990100013. The next prime is 9990100051. The reversal of 9990100044 is 4400010999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9990099981 and 9990100008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651794 + ... + 1657830.

Almost surely, 29990100044 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 9990100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934241320).

9990100044 is an abundant number, since it is smaller than the sum of its proper divisors (15878382596).

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

9990100044 is a wasteful number, since it uses less digits than its factorization.

9990100044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9990100044 is about 99950.4879627909. The cubic root of 9990100044 is about 2153.7234949990.

The spelling of 9990100044 in words is "nine billion, nine hundred ninety million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1069 1548 2138 3207 4276 6037 6414 9621 12074 12828 18111 19242 24148 36222 38484 45967 54333 72444 91934 108666 137901 183868 217332 259591 275802 413703 519182 551604 778773 827406 1038364 1557546 1654812 2336319 3115092 4672638 6453553 9345276 12907106 19360659 25814212 38721318 58081977 77442636 116163954 232327908 277502779 555005558 832508337 1110011116 1665016674 2497525011 3330033348 4995050022 9990100044