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189677411220 = 223511599479783
BaseRepresentation
bin1011000010100110100…
…1111001101110010100
3200010120221111211202110
42300221221321232110
511101424404124340
6223045301111020
716463245251663
oct2605151715624
9603527454673
10189677411220
1173494a544a0
12309166b8470
1314b6a85538b
149275188dda
154e020e4680
hex2c29a79b94

189677411220 has 96 divisors (see below), whose sum is σ = 580346726400. Its totient is φ = 45905541760.

The previous prime is 189677411219. The next prime is 189677411269. The reversal of 189677411220 is 22114776981.

189677411220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189677411220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155449 + ... + 635231.

It is an arithmetic number, because the mean of its divisors is an integer number (6045278400).

Almost surely, 2189677411220 is an apocalyptic number.

189677411220 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 189677411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290173363200).

189677411220 is an abundant number, since it is smaller than the sum of its proper divisors (390669315180).

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

189677411220 is a wasteful number, since it uses less digits than its factorization.

189677411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480405 (or 480403 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 189677411220 in words is "one hundred eighty-nine billion, six hundred seventy-seven million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 599 660 1198 1797 2396 2995 3594 5990 6589 7188 8985 11980 13178 17970 19767 26356 32945 35940 39534 65890 79068 98835 131780 197670 395340 479783 959566 1439349 1919132 2398915 2878698 4797830 5277613 5757396 7196745 9595660 10555226 14393490 15832839 21110452 26388065 28786980 31665678 52776130 63331356 79164195 105552260 158328390 287390017 316656780 574780034 862170051 1149560068 1436950085 1724340102 2873900170 3161290187 3448680204 4310850255 5747800340 6322580374 8621700510 9483870561 12645160748 15806450935 17243401020 18967741122 31612901870 37935482244 47419352805 63225803740 94838705610 189677411220