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190239034896 = 243219219132
BaseRepresentation
bin1011000100101100100…
…0010100111000010000
3200012001002022021121100
42301023020110320100
511104102143104041
6223221122424400
716513205054541
oct2611310247020
9605032267540
10190239034896
1173752a80699
1230a52802100
1314c2a005491
1492c99c24c8
154e365816b6
hex2c4b214e10

190239034896 has 135 divisors (see below), whose sum is σ = 562195084269. Its totient is φ = 60044080896.

The previous prime is 190239034889. The next prime is 190239034897. The reversal of 190239034896 is 698430932091.

The square root of 190239034896 is 436164.

It is a perfect power (a square), and thus also a powerful number.

190239034896 is a `hidden beast` number, since 190 + 23 + 9 + 0 + 348 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165632720400 + 24606314496 = 406980^2 + 156864^2 .

It is not an unprimeable number, because it can be changed into a prime (190239034897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99444436 + ... + 99446348.

Almost surely, 2190239034896 is an apocalyptic number.

190239034896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

190239034896 is the 436164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190239034896

190239034896 is an abundant number, since it is smaller than the sum of its proper divisors (371956049373).

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

190239034896 is an equidigital number, since it uses as much as digits as its factorization.

190239034896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 190239034896 in words is "one hundred ninety billion, two hundred thirty-nine million, thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 1913 2166 2736 2888 3249 3826 4332 5739 5776 6498 7652 8664 11478 12996 15304 17217 17328 22956 25992 30608 34434 36347 45912 51984 68868 72694 91824 109041 137736 145388 218082 275472 290776 327123 436164 581552 654246 690593 872328 1308492 1381186 1744656 2071779 2616984 2762372 3659569 4143558 5233968 5524744 6215337 7319138 8287116 10978707 11049488 12430674 14638276 16574232 21957414 24861348 29276552 32936121 33148464 43914828 49722696 58553104 65872242 69531811 87829656 99445392 131744484 139063622 175659312 208595433 263488968 278127244 417190866 526977936 556254488 625786299 834381732 1112508976 1251572598 1321104409 1668763464 2503145196 2642208818 3337526928 3963313227 5006290392 5284417636 7926626454 10012580784 10568835272 11889939681 15853252908 21137670544 23779879362 31706505816 47559758724 63413011632 95119517448 190239034896