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99673812 = 223272329593
BaseRepresentation
bin1011111000011…
…10011011010100
320221112221202200
411330032123110
5201004030222
613520204500
72320133130
oct574163324
9227487680
1099673812
1151299457
1229469730
131785b1b4
14d3483c0
158b3ceac
hex5f0e6d4

99673812 has 144 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 26256384.

The previous prime is 99673807. The next prime is 99673813. The reversal of 99673812 is 21837699.

It is a super-2 number, since 2×996738122 = 19869737597222688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99673813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167788 + ... + 168380.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 299673812 is an apocalyptic number.

99673812 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99673812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

99673812 is an abundant number, since it is smaller than the sum of its proper divisors (211677228).

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

99673812 is a wasteful number, since it uses less digits than its factorization.

99673812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 99673812 is about 9983.6772784380. The cubic root of 99673812 is about 463.6536567735.

The spelling of 99673812 in words is "ninety-nine million, six hundred seventy-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 84 87 92 116 126 138 161 174 203 207 252 261 276 322 348 406 414 483 522 593 609 644 667 812 828 966 1044 1186 1218 1334 1449 1779 1827 1932 2001 2372 2436 2668 2898 3558 3654 4002 4151 4669 5337 5796 6003 7116 7308 8004 8302 9338 10674 12006 12453 13639 14007 16604 17197 18676 21348 24012 24906 27278 28014 34394 37359 40917 42021 49812 51591 54556 56028 68788 74718 81834 84042 95473 103182 120379 122751 149436 154773 163668 168084 190946 206364 240758 245502 286419 309546 361137 381892 395531 481516 491004 572838 619092 722274 791062 859257 1083411 1145676 1186593 1444548 1582124 1718514 2166822 2373186 2768717 3437028 3559779 4333644 4746372 5537434 7119558 8306151 11074868 14239116 16612302 24918453 33224604 49836906 99673812