Search a number
-
+
18399002904 = 2334232942569
BaseRepresentation
bin10001001000101010…
…101000000100011000
31202111020222012010000
4101020222220010120
5300140121043104
612241414253000
71220641641612
oct211052500430
952436865100
1018399002904
117891837227
123695957160
131972ab3089
14c67811db2
1572a421639
hex448aa8118

18399002904 has 160 divisors (see below), whose sum is σ = 55630476000. Its totient is φ = 5663927808.

The previous prime is 18399002903. The next prime is 18399002911. The reversal of 18399002904 is 40920099381.

It is a super-2 number, since 2×183990029042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18399002904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18399002903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410932 + ... + 453500.

It is an arithmetic number, because the mean of its divisors is an integer number (347690475).

Almost surely, 218399002904 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 18399002904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815238000).

18399002904 is an abundant number, since it is smaller than the sum of its proper divisors (37231473096).

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

18399002904 is a wasteful number, since it uses less digits than its factorization.

18399002904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42639 (or 42626 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 18399002904 in words is "eighteen billion, three hundred ninety-nine million, two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 81 87 92 108 116 138 162 174 184 207 216 232 261 276 324 348 414 522 552 621 648 667 696 783 828 1044 1242 1334 1566 1656 1863 2001 2088 2349 2484 2668 3132 3726 4002 4698 4968 5336 6003 6264 7452 8004 9396 12006 14904 16008 18009 18792 24012 36018 42569 48024 54027 72036 85138 108054 127707 144072 170276 216108 255414 340552 383121 432216 510828 766242 979087 1021656 1149363 1234501 1532484 1958174 2298726 2469002 2937261 3064968 3448089 3703503 3916348 4597452 4938004 5874522 6896178 7407006 7832696 8811783 9194904 9876008 11110509 11749044 13792356 14814012 17623566 22221018 23498088 26435349 27584712 28393523 29628024 33331527 35247132 44442036 52870698 56787046 66663054 70494264 79306047 85180569 88884072 99994581 105741396 113574092 133326108 158612094 170361138 199989162 211482792 227148184 255541707 266652216 317224188 340722276 399978324 511083414 634448376 681444552 766625121 799956648 1022166828 1533250242 2044333656 2299875363 3066500484 4599750726 6133000968 9199501452 18399002904