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99292062672 = 243211228727409
BaseRepresentation
bin101110001111001000…
…1001010001111010000
3100111021211112101210200
41130132101022033100
53111322232001142
6113340353255200
710113356415165
oct1343621121720
9314254471720
1099292062672
1139122865330
12172b0864500
139494c5160a
144b3d01c06c
1528b1eea64c
hex171e44a3d0

99292062672 has 120 divisors (see below), whose sum is σ = 303285290880. Its totient is φ = 30074250240.

The previous prime is 99292062671. The next prime is 99292062677. The reversal of 99292062672 is 27626029299.

99292062672 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 2 + 0 + 626 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99292062671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3608904 + ... + 3636312.

It is an arithmetic number, because the mean of its divisors is an integer number (2527377424).

Almost surely, 299292062672 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 99292062672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151642645440).

99292062672 is an abundant number, since it is smaller than the sum of its proper divisors (203993228208).

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

99292062672 is a wasteful number, since it uses less digits than its factorization.

99292062672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29721 (or 29712 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 99292062672 in words is "ninety-nine billion, two hundred ninety-two million, sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2287 4574 6861 9148 13722 18296 20583 25157 27409 27444 36592 41166 50314 54818 54888 75471 82227 82332 100628 109636 109776 150942 164454 164664 201256 219272 226413 246681 301499 301884 328908 329328 402512 438544 452826 493362 602998 603768 657816 904497 905652 986724 1205996 1207536 1315632 1808994 1811304 1973448 2411992 2713491 3617988 3622608 3946896 4823984 5426982 7235976 10853964 14471952 21707928 43415856 62684383 125368766 188053149 250737532 376106298 501475064 564159447 689528213 752212596 1002950128 1128318894 1379056426 1504425192 2068584639 2256637788 2758112852 3008850384 4137169278 4513275576 5516225704 6205753917 8274338556 9026551152 11032451408 12411507834 16548677112 24823015668 33097354224 49646031336 99292062672