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185931083940340 = 225376432671146297
BaseRepresentation
bin101010010001101001110100…
…001101100000000111110100
3220101022211121220222112112211
4222101221310031200013310
5143332243324442042330
61455235321044023204
754110035406042254
oct5221516415400764
9811284556875484
10185931083940340
1154274a25742062
1218a2a833991b04
137c992c263a50b
1433cb1808db964
151676762ce2d2a
hexa91a743601f4

185931083940340 has 96 divisors (see below), whose sum is σ = 401784887314944. Its totient is φ = 72222285726720.

The previous prime is 185931083940317. The next prime is 185931083940397. The reversal of 185931083940340 is 43049380139581.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270842072 + ... + 1270988368.

It is an arithmetic number, because the mean of its divisors is an integer number (4185259242864).

Almost surely, 2185931083940340 is an apocalyptic number.

185931083940340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185931083940340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200892443657472).

185931083940340 is an abundant number, since it is smaller than the sum of its proper divisors (215853803374604).

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

185931083940340 is a wasteful number, since it uses less digits than its factorization.

185931083940340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149657 (or 149655 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 185931083940340 in words is "one hundred eighty-five trillion, nine hundred thirty-one billion, eighty-three million, nine hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 643 740 1286 2572 2671 3215 5342 6430 10684 12860 13355 23791 26710 47582 53420 95164 98827 118955 146297 197654 237910 292594 395308 475820 494135 585188 731485 988270 1462970 1717453 1976540 2925940 3434906 5412989 6869812 8587265 10825978 17174530 21651956 27064945 34349060 54129890 63545761 94068971 108259780 127091522 188137942 254183044 317728805 376275884 390759287 470344855 635457610 781518574 940689710 1270915220 1563037148 1881379420 1953796435 3480551927 3907592870 6961103854 7815185740 13922207708 14458093619 17402759635 28916187238 34805519270 57832374476 69611038540 72290468095 144580936190 251258221541 289161872380 502516443082 1005032886164 1256291107705 2512582215410 5025164430820 9296554197017 18593108394034 37186216788068 46482770985085 92965541970170 185931083940340