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190242570375 = 33531113401983
BaseRepresentation
bin1011000100101101010…
…1110100000010000111
3200012001022221220101000
42301023111310002013
511104104044223000
6223221330304343
716513250111214
oct2611325640207
9605038856330
10190242570375
1173754a75980
1230a53a280b3
1314c2a972790
1492ca262b0b
154e36a2e000
hex2c4b574087

190242570375 has 256 divisors, whose sum is σ = 414681845760. Its totient is φ = 84844800000.

The previous prime is 190242570289. The next prime is 190242570407. The reversal of 190242570375 is 573075242091.

It is a happy number.

190242570375 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 4 + 2 + 570 + 3 + 75 = 666.

It is not a de Polignac number, because 190242570375 - 227 = 190108352647 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 190242570375.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 193532134 + ... + 193533116.

It is an arithmetic number, because the mean of its divisors is an integer number (1619850960).

Almost surely, 2190242570375 is an apocalyptic number.

190242570375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190242570375 is an abundant number, since it is smaller than the sum of its proper divisors (224439275385).

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

190242570375 is a wasteful number, since it uses less digits than its factorization.

190242570375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 190242570375 in words is "one hundred ninety billion, two hundred forty-two million, five hundred seventy thousand, three hundred seventy-five".