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10404020808 = 2333172166667
BaseRepresentation
bin10011011000010000…
…01100001001001000
3222212002000000111000
421230020030021020
5132301412131213
64440214135000
7515551501116
oct115410141110
928762000430
1010404020808
114459886905
122024351460
13c9a608c3c
14709a92ab6
1540d5b7c73
hex26c20c248

10404020808 has 96 divisors (see below), whose sum is σ = 30700245600. Its totient is φ = 3263986944.

The previous prime is 10404020761. The next prime is 10404020821. The reversal of 10404020808 is 80802040401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20910 + ... + 145757.

It is an arithmetic number, because the mean of its divisors is an integer number (319794225).

Almost surely, 210404020808 is an apocalyptic number.

10404020808 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 10404020808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350122800).

10404020808 is an abundant number, since it is smaller than the sum of its proper divisors (20296224792).

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

10404020808 is a wasteful number, since it uses less digits than its factorization.

10404020808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166716 (or 166689 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10404020808 in words is "ten billion, four hundred four million, twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2312 2601 3468 3672 5202 6936 7803 10404 15606 20808 31212 62424 166667 333334 500001 666668 1000002 1333336 1500003 2000004 2833339 3000006 4000008 4500009 5666678 6000012 8500017 9000018 11333356 12000024 17000034 18000036 22666712 25500051 34000068 36000072 48166763 51000102 68000136 76500153 96333526 102000204 144500289 153000306 192667052 204000408 289000578 306000612 385334104 433500867 578001156 612001224 867001734 1156002312 1300502601 1734003468 2601005202 3468006936 5202010404 10404020808