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109235693952 = 273271117107677
BaseRepresentation
bin110010110111011110…
…1000110100110000000
3101102221211020012120200
41211232331012212000
53242203314201302
6122103204005200
710614651035640
oct1455675064600
9342854205520
10109235693952
1142365779720
1219206990800
13a3bb0638c8
1454038aa520
152c94e7181c
hex196ef46980

109235693952 has 768 divisors, whose sum is σ = 419450503680. Its totient is φ = 26415267840.

The previous prime is 109235693939. The next prime is 109235693989. The reversal of 109235693952 is 259396532901.

It is a happy number.

109235693952 is a `hidden beast` number, since 1 + 0 + 9 + 23 + 569 + 3 + 9 + 52 = 666.

109235693952 is digitally balanced in base 3, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161352238 + ... + 161352914.

It is an arithmetic number, because the mean of its divisors is an integer number (546159510).

Almost surely, 2109235693952 is an apocalyptic number.

109235693952 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 109235693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209725251840).

109235693952 is an abundant number, since it is smaller than the sum of its proper divisors (310214809728).

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

109235693952 is a wasteful number, since it uses less digits than its factorization.

109235693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 109235693952 in words is "one hundred nine billion, two hundred thirty-five million, six hundred ninety-three thousand, nine hundred fifty-two".