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189981608920 = 2351710313611993
BaseRepresentation
bin1011000011101111001…
…0010100101111011000
3200011101010220200112221
42300323302110233120
511103040242441140
6223135405113424
716503631013515
oct2607362245730
9604333820487
10189981608920
1173630735754
12309a0558874
1314bb8892a0c
1492a373230c
154e1db8214a
hex2c3bc94bd8

189981608920 has 128 divisors (see below), whose sum is σ = 457562701440. Its totient is φ = 70740541440.

The previous prime is 189981608917. The next prime is 189981608933. The reversal of 189981608920 is 29806189981.

It is a super-3 number, since 3×1899816089203 (a number of 35 digits) contains 333 as substring.

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, 95323444 + ... + 95325436.

It is an arithmetic number, because the mean of its divisors is an integer number (3574708605).

Almost surely, 2189981608920 is an apocalyptic number.

189981608920 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 189981608920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228781350720).

189981608920 is an abundant number, since it is smaller than the sum of its proper divisors (267581092520).

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

189981608920 is a wasteful number, since it uses less digits than its factorization.

189981608920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 61.

The spelling of 189981608920 in words is "one hundred eighty-nine billion, nine hundred eighty-one million, six hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 412 515 680 824 1030 1361 1751 1993 2060 2722 3502 3986 4120 5444 6805 7004 7972 8755 9965 10888 13610 14008 15944 17510 19930 23137 27220 33881 35020 39860 46274 54440 67762 70040 79720 92548 115685 135524 140183 169405 185096 205279 231370 271048 280366 338810 410558 462740 560732 677620 700915 821116 925480 1026395 1121464 1355240 1401830 1642232 2052790 2383111 2712473 2803660 3489743 4105580 4766222 5424946 5607320 6979486 8211160 9532444 10849892 11915555 13562365 13958972 17448715 19064888 21699784 23831110 27124730 27917944 34897430 46112041 47662220 54249460 69794860 92224082 95324440 108498920 139589720 184448164 230560205 279384719 368896328 461120410 558769438 922240820 1117538876 1396923595 1844481640 2235077752 2793847190 4749540223 5587694380 9499080446 11175388760 18998160892 23747701115 37996321784 47495402230 94990804460 189981608920