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99911973672 = 23327251789793
BaseRepresentation
bin101110100001100110…
…1111011101100101000
3100112220001000010211100
41131003031323230220
53114104431124142
6113522100201400
710134624522660
oct1350315735450
9315801003740
1099911973672
1139410782675
1217444399260
1395634cbc64
144b9b4a91a0
1528eb64cb4c
hex174337bb28

99911973672 has 96 divisors (see below), whose sum is σ = 310483817280. Its totient is φ = 28432512000.

The previous prime is 99911973671. The next prime is 99911973713. The reversal of 99911973672 is 27637911999.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99911973671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268393 + ... + 521400.

It is an arithmetic number, because the mean of its divisors is an integer number (3234206430).

Almost surely, 299911973672 is an apocalyptic number.

It is an amenable number.

99911973672 is an abundant number, since it is smaller than the sum of its proper divisors (210571843608).

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

99911973672 is a wasteful number, since it uses less digits than its factorization.

99911973672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790063 (or 790056 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The spelling of 99911973672 in words is "ninety-nine billion, nine hundred eleven million, nine hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 251 252 502 504 753 1004 1506 1757 2008 2259 3012 3514 4518 5271 6024 7028 9036 10542 14056 15813 18072 21084 31626 42168 63252 126504 789793 1579586 2369379 3159172 4738758 5528551 6318344 7108137 9477516 11057102 14216274 16585653 18955032 22114204 28432548 33171306 44228408 49756959 56865096 66342612 99513918 132685224 198238043 199027836 396476086 398055672 594714129 792952172 1189428258 1387666301 1585904344 1784142387 2378856516 2775332602 3568284774 4162998903 4757713032 5550665204 7136569548 8325997806 11101330408 12488996709 14273139096 16651995612 24977993418 33303991224 49955986836 99911973672