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14904029808 = 243523166667
BaseRepresentation
bin11011110000101100…
…10111001001110000
31102110200120011100000
431320112113021300
5221010412423213
610502525030000
71035223106643
oct157026271160
942420504300
1014904029808
116358a33208
122a7b3b5300
1315369b6865
14a155a1a5a
155c36a8c73
hex378597270

14904029808 has 120 divisors (see below), whose sum is σ = 45136361088. Its totient is φ = 4751980992.

The previous prime is 14904029779. The next prime is 14904029809. The reversal of 14904029808 is 80892040941.

14904029808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14904029809) 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, 6091 + ... + 172757.

Almost surely, 214904029808 is an apocalyptic number.

14904029808 is a gapful number since it is divisible by the number (18) 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 14904029808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22568180544).

14904029808 is an abundant number, since it is smaller than the sum of its proper divisors (30232331280).

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

14904029808 is a wasteful number, since it uses less digits than its factorization.

14904029808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166713 (or 166695 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14904029808 in words is "fourteen billion, nine hundred four million, twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 3312 3726 3888 4968 5589 7452 9936 11178 14904 22356 29808 44712 89424 166667 333334 500001 666668 1000002 1333336 1500003 2000004 2666672 3000006 3833341 4000008 4500009 6000012 7666682 8000016 9000018 11500023 12000024 13500027 15333364 18000036 23000046 24000048 27000054 30666728 34500069 36000072 40500081 46000092 54000108 61333456 69000138 72000144 81000162 92000184 103500207 108000216 138000276 162000324 184000368 207000414 216000432 276000552 310500621 324000648 414000828 552001104 621001242 648001296 828001656 931501863 1242002484 1656003312 1863003726 2484004968 3726007452 4968009936 7452014904 14904029808