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108975828480 = 2935194631613
BaseRepresentation
bin110010101111101110…
…1110010111000000000
3101102021201020200011120
41211133131302320000
53241140303002410
6122021322112240
710605344154441
oct1453735627000
9342251220146
10108975828480
1142242017972
121915394b680
13a37927895c
1453bb1832c8
152c7c23e570
hex195f772e00

108975828480 has 320 divisors, whose sum is σ = 367737891840. Its totient is φ = 27454242816.

The previous prime is 108975828473. The next prime is 108975828491. The reversal of 108975828480 is 84828579801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1089758284802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 67560154 + ... + 67561766.

It is an arithmetic number, because the mean of its divisors is an integer number (1149180912).

Almost surely, 2108975828480 is an apocalyptic number.

108975828480 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 108975828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183868945920).

108975828480 is an abundant number, since it is smaller than the sum of its proper divisors (258762063360).

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

108975828480 is a wasteful number, since it uses less digits than its factorization.

108975828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 108975828480 in words is "one hundred eight billion, nine hundred seventy-five million, eight hundred twenty-eight thousand, four hundred eighty".