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108829064320 = 275367463339
BaseRepresentation
bin110010101011010110…
…1111011110010000000
3101101220111002021120221
41211112231323302000
53240340220024240
6121555000312424
710601612532544
oct1452655736200
9341814067527
10108829064320
1142177195879
1219112772714
13a354a40862
1453a589ba24
152c6e3eda4a
hex1956b7bc80

108829064320 has 64 divisors (see below), whose sum is σ = 260878953600. Its totient is φ = 43412917248.

The previous prime is 108829064299. The next prime is 108829064359. The reversal of 108829064320 is 23460928801.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 3211 + ... + 466549.

It is an arithmetic number, because the mean of its divisors is an integer number (4076233650).

Almost surely, 2108829064320 is an apocalyptic number.

108829064320 is a gapful number since it is divisible by the number (10) 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 108829064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130439476800).

108829064320 is an abundant number, since it is smaller than the sum of its proper divisors (152049889280).

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

108829064320 is an equidigital number, since it uses as much as digits as its factorization.

108829064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463725 (or 463713 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 108829064320 in words is "one hundred eight billion, eight hundred twenty-nine million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 367 640 734 1468 1835 2936 3670 5872 7340 11744 14680 23488 29360 46976 58720 117440 234880 463339 926678 1853356 2316695 3706712 4633390 7413424 9266780 14826848 18533560 29653696 37067120 59307392 74134240 148268480 170045413 296536960 340090826 680181652 850227065 1360363304 1700454130 2720726608 3400908260 5441453216 6801816520 10882906432 13603633040 21765812864 27207266080 54414532160 108829064320