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14982108408 = 2333471678837
BaseRepresentation
bin11011111010000000…
…01101010011111000
31102200010110222001000
431331000031103320
5221140404432113
610514354325000
71040161551231
oct157500152370
942603428030
1014982108408
116399011883
122aa1589760
131549c23507
14a21ac8088
155ca47d373
hex37d00d4f8

14982108408 has 128 divisors (see below), whose sum is σ = 42761779200. Its totient is φ = 4857962112.

The previous prime is 14982108377. The next prime is 14982108431. The reversal of 14982108408 is 80480128941.

14982108408 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1690966 + ... + 1699802.

It is an arithmetic number, because the mean of its divisors is an integer number (334076400).

Almost surely, 214982108408 is an apocalyptic number.

14982108408 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 14982108408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380889600).

14982108408 is an abundant number, since it is smaller than the sum of its proper divisors (27779670792).

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

14982108408 is a wasteful number, since it uses less digits than its factorization.

14982108408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 14982108408 in words is "fourteen billion, nine hundred eighty-two million, one hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 167 188 216 282 334 376 423 501 564 668 846 1002 1128 1269 1336 1503 1692 2004 2538 3006 3384 4008 4509 5076 6012 7849 8837 9018 10152 12024 15698 17674 18036 23547 26511 31396 35348 36072 47094 53022 62792 70641 70696 79533 94188 106044 141282 159066 188376 211923 212088 238599 282564 318132 415339 423846 477198 565128 636264 830678 847692 954396 1246017 1475779 1661356 1695384 1908792 2492034 2951558 3322712 3738051 4427337 4984068 5903116 7476102 8854674 9968136 11214153 11806232 13282011 14952204 17709348 22428306 26564022 29904408 35418696 39846033 44856612 53128044 69361613 79692066 89713224 106256088 138723226 159384132 208084839 277446452 318768264 416169678 554892904 624254517 832339356 1248509034 1664678712 1872763551 2497018068 3745527102 4994036136 7491054204 14982108408