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99940015404 = 22335338345587
BaseRepresentation
bin101110100010011100…
…0111001110100101100
3100112221222202210212000
41131010320321310230
53114134120443104
6113524541212300
710135415054205
oct1350470716454
9315858683760
1099940015404
1139425595859
1217451861090
1395692697b8
144ba10c85ac
1528edd3b639
hex1744e39d2c

99940015404 has 96 divisors (see below), whose sum is σ = 264687575040. Its totient is φ = 32598730944.

The previous prime is 99940015397. The next prime is 99940015451. The reversal of 99940015404 is 40451004999.

99940015404 is a `hidden beast` number, since 9 + 99 + 400 + 154 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99940015404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169499 + ... + 2215085.

It is an arithmetic number, because the mean of its divisors is an integer number (2757162240).

Almost surely, 299940015404 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 99940015404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132343787520).

99940015404 is an abundant number, since it is smaller than the sum of its proper divisors (164747559636).

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

99940015404 is a wasteful number, since it uses less digits than its factorization.

99940015404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46036 (or 46028 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 99940015404 in words is "ninety-nine billion, nine hundred forty million, fifteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 383 477 636 766 954 1149 1431 1532 1908 2298 2862 3447 4596 5724 6894 10341 13788 20299 20682 40598 41364 45587 60897 81196 91174 121794 136761 182348 182691 243588 273522 365382 410283 547044 548073 730764 820566 1096146 1230849 1641132 2192292 2416111 2461698 4832222 4923396 7248333 9664444 14496666 17459821 21744999 28993332 34919642 43489998 52379463 65234997 69839284 86979996 104758926 130469994 157138389 209517852 260939988 314276778 471415167 628553556 925370513 942830334 1850741026 1885660668 2776111539 3701482052 5552223078 8328334617 11104446156 16656669234 24985003851 33313338468 49970007702 99940015404