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189983011608 = 233213216793493
BaseRepresentation
bin1011000011101111011…
…1101011001100011000
3200011101020112221200100
42300323313223030120
511103041122332413
6223135455135400
716503645645135
oct2607367531430
9604336487610
10189983011608
11736315035a5
12309a0b14560
1314bb8c64300
1492a39b958c
154e1dd5ca73
hex2c3bdeb318

189983011608 has 144 divisors (see below), whose sum is σ = 560504009520. Its totient is φ = 58105651968.

The previous prime is 189983011571. The next prime is 189983011609. The reversal of 189983011608 is 806110389981.

189983011608 is a `hidden beast` number, since 18 + 9 + 9 + 8 + 3 + 0 + 11 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189983011609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1985310 + ... + 2078802.

It is an arithmetic number, because the mean of its divisors is an integer number (3892388955).

Almost surely, 2189983011608 is an apocalyptic number.

189983011608 is a gapful number since it is divisible by the number (18) 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 189983011608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280252004760).

189983011608 is an abundant number, since it is smaller than the sum of its proper divisors (370520997912).

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

189983011608 is a wasteful number, since it uses less digits than its factorization.

189983011608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93698 (or 93678 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 189983011608 in words is "one hundred eighty-nine billion, nine hundred eighty-three million, eleven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 167 169 234 312 334 338 468 501 507 668 676 936 1002 1014 1336 1352 1503 1521 2004 2028 2171 3006 3042 4008 4056 4342 6012 6084 6513 8684 12024 12168 13026 17368 19539 26052 28223 39078 52104 56446 78156 84669 93493 112892 156312 169338 186986 225784 254007 280479 338676 373972 508014 560958 677352 747944 841437 1016028 1121916 1215409 1682874 2032056 2243832 2430818 3365748 3646227 4861636 6731496 7292454 9723272 10938681 14584908 15613331 15800317 21877362 29169816 31226662 31600634 43754724 46839993 47400951 62453324 63201268 87509448 93679986 94801902 124906648 126402536 140519979 142202853 187359972 189603804 202973303 281039958 284405706 374719944 379207608 405946606 562079916 568811412 608919909 811893212 1124159832 1137622824 1217839818 1623786424 1826759727 2435679636 2638652939 3653519454 4871359272 5277305878 7307038908 7915958817 10554611756 14614077816 15831917634 21109223512 23747876451 31663835268 47495752902 63327670536 94991505804 189983011608