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192918387024990 = 23451121651895289
BaseRepresentation
bin101011110111010101001111…
…111011011110010001011110
3221022001211002002110101110000
4223313111033323132101132
5200241233324034244430
61522145252234355130
755430615321232534
oct5367251773362136
9838054062411400
10192918387024990
1156519257115a30
1219778a6158baa6
138385183601c83
14358d42a742154
1517483b39ace60
hexaf754fede45e

192918387024990 has 80 divisors (see below), whose sum is σ = 565893935299440. Its totient is φ = 46768093822080.

The previous prime is 192918387024971. The next prime is 192918387024991. The reversal of 192918387024990 is 99420783819291.

It is a happy number.

192918387024990 is a `hidden beast` number, since 1 + 9 + 29 + 18 + 38 + 70 + 2 + 499 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192918387024991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10825938735 + ... + 10825956554.

It is an arithmetic number, because the mean of its divisors is an integer number (7073674191243).

Almost surely, 2192918387024990 is an apocalyptic number.

192918387024990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

192918387024990 is an abundant number, since it is smaller than the sum of its proper divisors (372975548274450).

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

192918387024990 is a wasteful number, since it uses less digits than its factorization.

192918387024990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21651895319 (or 21651895310 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 192918387024990 in words is "one hundred ninety-two trillion, nine hundred eighteen billion, three hundred eighty-seven million, twenty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 21651895289 43303790578 64955685867 108259476445 129911371734 194867057601 216518952890 238170848179 324778429335 389734115202 476341696358 584601172803 649556858670 714512544537 974335288005 1169202345606 1190854240895 1429025089074 1753803518409 1948670576010 2143537633611 2381708481790 2923005864015 3507607036818 3572562722685 4287075267222 5846011728030 6430612900833 7145125445370 8769017592045 10717688168055 12861225801666 17538035184090 19291838702499 21435376336110 32153064504165 38583677404998 64306129008330 96459193512495 192918387024990