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190274314320 = 243257110336137
BaseRepresentation
bin1011000100110100111…
…0111010000001010000
3200012010112200122212200
42301031032322001100
511104140211024240
6223224422523200
716514113662156
oct2611516720120
9605115618780
10190274314320
1173770987642
1230a62596500
1314c3440848c
1492d05673d6
154e396ee930
hex2c4d3ba050

190274314320 has 240 divisors, whose sum is σ = 654314049792. Its totient is φ = 49538119680.

The previous prime is 190274314309. The next prime is 190274314387. The reversal of 190274314320 is 23413472091.

It is a happy number.

190274314320 is a `hidden beast` number, since 19 + 0 + 2 + 7 + 4 + 314 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247292 + ... + 5283428.

Almost surely, 2190274314320 is an apocalyptic number.

190274314320 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 190274314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327157024896).

190274314320 is an abundant number, since it is smaller than the sum of its proper divisors (464039735472).

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

190274314320 is a wasteful number, since it uses less digits than its factorization.

190274314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36330 (or 36321 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 190274314320 in words is "one hundred ninety billion, two hundred seventy-four million, three hundred fourteen thousand, three hundred twenty".