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99990000010032 = 24311238233695653
BaseRepresentation
bin10110101111000010111100…
…011011101000001100110000
3111010000221200000120101220220
4112233002330123220030300
5101101214010000310112
6552354434420133040
730030016261501446
oct2657027433501460
9433027600511826
1099990000010032
11299505802a9760
12b26a894837180
1343a402a460212
141a99782a92b96
15b85e8191498c
hex5af0bc6e8330

99990000010032 has 80 divisors (see below), whose sum is σ = 294041739195648. Its totient is φ = 28982608695040.

The previous prime is 99990000010031. The next prime is 99990000010039. The reversal of 99990000010032 is 23001000009999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99990000010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116835683 + ... + 4116859970.

Almost surely, 299990000010032 is an apocalyptic number.

99990000010032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

99990000010032 is an abundant number, since it is smaller than the sum of its proper divisors (194051739185616).

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

99990000010032 is a wasteful number, since it uses less digits than its factorization.

99990000010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233695698 (or 8233695692 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The spelling of 99990000010032 in words is "ninety-nine trillion, nine hundred ninety billion, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 8233695653 16467391306 24701086959 32934782612 49402173918 65869565224 90570652183 98804347836 131739130448 181141304366 189375000019 197608695672 271711956549 362282608732 378750000038 395217391344 543423913098 568125000057 724565217464 757500000076 1086847826196 1136250000114 1449130434928 1515000000152 2083125000209 2173695652392 2272500000228 3030000000304 4166250000418 4347391304784 4545000000456 6249375000627 8332500000836 9090000000912 12498750001254 16665000001672 24997500002508 33330000003344 49995000005016 99990000010032