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192540353994 = 233109113337859
BaseRepresentation
bin1011001101010001001…
…1001010010111001010
3200101222110122101221000
42303110103022113022
511123310312311434
6224241331555430
716624221001632
oct2632423122712
9611873571830
10192540353994
11747240127aa
123139545bb76
1315205a1cb61
1494674b56c2
15501d613b99
hex2cd44ca5ca

192540353994 has 128 divisors (see below), whose sum is σ = 437415264000. Its totient is φ = 62768369664.

The previous prime is 192540353977. The next prime is 192540354001. The reversal of 192540353994 is 499353045291.

192540353994 is a `hidden beast` number, since 1 + 9 + 2 + 540 + 3 + 5 + 3 + 9 + 94 = 666.

192540353994 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1925403539942 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 192540353994.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224144337 + ... + 224145195.

It is an arithmetic number, because the mean of its divisors is an integer number (3417306750).

Almost surely, 2192540353994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192540353994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218707632000).

192540353994 is an abundant number, since it is smaller than the sum of its proper divisors (244874910006).

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

192540353994 is a wasteful number, since it uses less digits than its factorization.

192540353994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 192540353994 in words is "one hundred ninety-two billion, five hundred forty million, three hundred fifty-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 109 113 218 226 327 337 339 654 674 678 859 981 1011 1017 1718 1962 2022 2034 2577 2943 3033 3051 5154 5886 6066 6102 7731 9099 12317 15462 18198 23193 24634 36733 36951 38081 46386 73466 73902 76162 93631 97067 110199 110853 114243 187262 194134 220398 221706 228486 280893 289483 291201 330597 332559 342729 561786 578966 582402 661194 665118 685458 842679 868449 873603 991791 1028187 1685358 1736898 1747206 1983582 2056374 2528037 2605347 2620809 4150829 5056074 5210694 5241618 7816041 8301658 10580303 12452487 15632082 21160606 24904974 31553647 31740909 32711579 37357461 63107294 63481818 65423158 74714922 94660941 95222727 98134737 112072383 189321882 190445454 196269474 224144766 283982823 285668181 294404211 567965646 571336362 588808422 851948469 883212633 1703896938 1766425266 3565562111 7131124222 10696686333 21393372666 32090058999 64180117998 96270176997 192540353994