Search a number
-
+
190342097136 = 24325036913803
BaseRepresentation
bin1011000101000101000…
…1011110100011110000
3200012022021020101102100
42301101101132203300
511104310034102021
6223235243420400
716515566062542
oct2612121364360
9605267211370
10190342097136
11737a61738a4
1230a81224700
1314c4547ba59
1492d956d692
154e4063d626
hex2c5145e8f0

190342097136 has 120 divisors (see below), whose sum is σ = 534665529216. Its totient is φ = 63212964480.

The previous prime is 190342097129. The next prime is 190342097191. The reversal of 190342097136 is 631790243091.

190342097136 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 420 + 97 + 136 = 666.

It is a super-2 number, since 2×1903420971362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 190342097091 and 190342097100.

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 23 ways as a sum of consecutive naturals, for example, 50048611 + ... + 50052413.

Almost surely, 2190342097136 is an apocalyptic number.

190342097136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190342097136 is an abundant number, since it is smaller than the sum of its proper divisors (344323432080).

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

190342097136 is a wasteful number, since it uses less digits than its factorization.

190342097136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 190342097136 in words is "one hundred ninety billion, three hundred forty-two million, ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 503 691 1006 1382 1509 2012 2073 2764 3018 3803 4024 4146 4527 5528 6036 6219 7606 8048 8292 9054 11056 11409 12072 12438 15212 16584 18108 22818 24144 24876 30424 33168 34227 36216 45636 49752 60848 68454 72432 91272 99504 136908 182544 273816 347573 547632 695146 1042719 1390292 1912909 2085438 2627873 2780584 3128157 3825818 4170876 5255746 5561168 5738727 6256314 7651636 7883619 8341752 10511492 11477454 12512628 15303272 15767238 16683504 17216181 21022984 22954908 23650857 25025256 30606544 31534476 34432362 42045968 45909816 47301714 50050512 63068952 68864724 91819632 94603428 126137904 137729448 189206856 275458896 378413712 1321820119 2643640238 3965460357 5287280476 7930920714 10574560952 11896381071 15861841428 21149121904 23792762142 31723682856 47585524284 63447365712 95171048568 190342097136