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190164596440324 = 22112232272532
BaseRepresentation
bin101011001111010000100101…
…001110000011110100000100
3220221022120001200122022111111
4223033100211032003310010
5144411124043142042244
61512240224245214404
755024636655412112
oct5317204516036404
9827276050568444
10190164596440324
1155657397123100
12193b320a701404
1382155a174225c
1434d6030a5aab2
1516eb93e3c6e34
hexacf425383d04

190164596440324 has 81 divisors (see below), whose sum is σ = 382401318182709. Its totient is φ = 82677225517920.

The previous prime is 190164596440283. The next prime is 190164596440433. The reversal of 190164596440324 is 423044695461091.

It is a happy number.

The square root of 190164596440324 is 13790018.

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

It can be written as a sum of positive squares in only one way, i.e., 98007822012100 + 92156774428224 = 9899890^2 + 9599832^2 .

It is a super-2 number, since 2×1901645964403242 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6977735482 + ... + 6977762734.

Almost surely, 2190164596440324 is an apocalyptic number.

190164596440324 is the 13790018-th square number.

It is an amenable number.

190164596440324 is an abundant number, since it is smaller than the sum of its proper divisors (192236721742385).

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

190164596440324 is an frugal number, since it uses more digits than its factorization.

190164596440324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54578 (or 27289 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 190164596440324 in words is "one hundred ninety trillion, one hundred sixty-four billion, five hundred ninety-six million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 2116 2783 5566 5819 11132 11638 23276 27253 54506 64009 109012 128018 256036 299783 599566 626819 1199132 1253638 2507276 3297613 6595226 6895009 13190452 13790018 14416837 27580036 28833674 57667348 75845099 151690198 158585207 303380396 317170414 634340828 742726009 1485452018 1744437277 2970904036 3488874554 6977749108 8169986099 16339972198 17082698207 32679944396 34165396414 68330792828 89869847089 179739694178 187909680277 359479388356 375819360554 392902058761 751638721108 785804117522 1571608235044 2067006483047 4134012966094 4321922646371 8268025932188 8643845292742 17287690585484 47541149110081 95082298220162 190164596440324