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119942507700 = 22345231347309
BaseRepresentation
bin110111110110100100…
…0010110110010110100
3102110120222222200220000
41233231020112302310
53431120240221300
6131033440111300
711444200331241
oct1575510266264
9373528880800
10119942507700
114695a467324
121b2b4605530
13b406307962
145b3b85c5c8
1531bedeac00
hex1bed216cb4

119942507700 has 180 divisors, whose sum is σ = 390056662380. Its totient is φ = 31881807360.

The previous prime is 119942507683. The next prime is 119942507701. The reversal of 119942507700 is 7705249911.

119942507700 is a `hidden beast` number, since 11 + 99 + 42 + 507 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51454570896 + 68487936804 = 226836^2 + 261702^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119942507701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2511646 + ... + 2558954.

Almost surely, 2119942507700 is an apocalyptic number.

119942507700 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 119942507700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195028331190).

119942507700 is an abundant number, since it is smaller than the sum of its proper divisors (270114154680).

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

119942507700 is a wasteful number, since it uses less digits than its factorization.

119942507700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47648 (or 47632 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 119942507700 in words is "one hundred nineteen billion, nine hundred forty-two million, five hundred seven thousand, seven hundred".