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109335420432 = 243371491511607
BaseRepresentation
bin110010111010011100…
…1100001111000010000
3101110012202212211121000
41211310321201320100
53242404331423212
6122121125302000
710620301511460
oct1456471417020
9343182784530
10109335420432
1142406aa36a7
1219234264900
13a40590ca64
145412c29ba0
152c9dac01dc
hex1974e61e10

109335420432 has 320 divisors, whose sum is σ = 363691008000. Its totient is φ = 30804364800.

The previous prime is 109335420353. The next prime is 109335420473. The reversal of 109335420432 is 234024533901.

109335420432 is a `hidden beast` number, since 10 + 93 + 354 + 204 + 3 + 2 = 666.

It is a super-2 number, since 2×1093354204322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 68036173 + ... + 68037779.

It is an arithmetic number, because the mean of its divisors is an integer number (1136534400).

Almost surely, 2109335420432 is an apocalyptic number.

109335420432 is a gapful number since it is divisible by the number (12) 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 109335420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181845504000).

109335420432 is an abundant number, since it is smaller than the sum of its proper divisors (254355587568).

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

109335420432 is a wasteful number, since it uses less digits than its factorization.

109335420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 109335420432 in words is "one hundred nine billion, three hundred thirty-five million, four hundred twenty thousand, four hundred thirty-two".