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2008627118904 = 233717416867383
BaseRepresentation
bin11101001110101011100…
…000011000001100111000
321010000121200021220021110
4131032223200120030320
5230402132020301104
64134430042040320
7265055436543150
oct35165340301470
97100550256243
102008627118904
11704943709a1a
122853511a90a0
131175499a9863
146d30a55d760
15373b05a0e89
hex1d3ab818338

2008627118904 has 64 divisors (see below), whose sum is σ = 5742231805440. Its totient is φ = 573563744640.

The previous prime is 2008627118891. The next prime is 2008627118959. The reversal of 2008627118904 is 4098117268002.

It is a happy number.

It is a super-2 number, since 2×20086271189042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3141204 + ... + 3726179.

It is an arithmetic number, because the mean of its divisors is an integer number (89722371960).

Almost surely, 22008627118904 is an apocalyptic number.

2008627118904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2008627118904 is an abundant number, since it is smaller than the sum of its proper divisors (3733604686536).

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

2008627118904 is a wasteful number, since it uses less digits than its factorization.

2008627118904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869140 (or 6869136 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 2008627118904 in words is "two trillion, eight billion, six hundred twenty-seven million, one hundred eighteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1741 3482 5223 6964 10446 12187 13928 20892 24374 36561 41784 48748 73122 97496 146244 292488 6867383 13734766 20602149 27469532 41204298 48071681 54939064 82408596 96143362 144215043 164817192 192286724 288430086 384573448 576860172 1153720344 11956113803 23912227606 35868341409 47824455212 71736682818 83692796621 95648910424 143473365636 167385593242 251078389863 286946731272 334771186484 502156779726 669542372968 1004313559452 2008627118904