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189322088720 = 24541891993259
BaseRepresentation
bin1011000001010001111…
…0011101000100010000
3200002200011220120220212
42300110132131010100
511100212423314340
6222550125223252
716451402126222
oct2602436350420
9602604816825
10189322088720
1173322424436
1230837701b28
1314b1205768b
14923dcd4412
154dd0d08a65
hex2c1479d110

189322088720 has 160 divisors (see below), whose sum is σ = 458408160000. Its totient is φ = 72662261760.

The previous prime is 189322088713. The next prime is 189322088729. The reversal of 189322088720 is 27880223981.

It is not an unprimeable number, because it can be changed into a prime (189322088729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58090451 + ... + 58093709.

It is an arithmetic number, because the mean of its divisors is an integer number (2865051000).

Almost surely, 2189322088720 is an apocalyptic number.

189322088720 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 189322088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229204080000).

189322088720 is an abundant number, since it is smaller than the sum of its proper divisors (269086071280).

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

189322088720 is a wasteful number, since it uses less digits than its factorization.

189322088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 189322088720 in words is "one hundred eighty-nine billion, three hundred twenty-two million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 89 164 178 199 205 328 356 398 410 445 656 712 796 820 890 995 1424 1592 1640 1780 1990 3184 3259 3280 3560 3649 3980 6518 7120 7298 7960 8159 13036 14596 15920 16295 16318 17711 18245 26072 29192 32590 32636 35422 36490 40795 52144 58384 65180 65272 70844 72980 81590 88555 130360 130544 133619 141688 145960 163180 177110 260720 267238 283376 290051 291920 326360 354220 534476 580102 648541 652720 668095 708440 726151 1068952 1160204 1297082 1336190 1416880 1450255 1452302 2137904 2320408 2594164 2672380 2900510 2904604 3242705 3630755 4640816 5188328 5344760 5801020 5809208 6485410 7261510 10376656 10689520 11602040 11618416 11892091 12970820 14523020 23204080 23784182 25941640 26590181 29046040 47568364 51883280 53180362 57720149 58092080 59460455 95136728 106360724 115440298 118920910 132950905 190273456 212721448 230880596 237841820 265901810 288600745 425442896 461761192 475683640 531803620 577201490 923522384 951367280 1063607240 1154402980 2127214480 2308805960 2366526109 4617611920 4733052218 9466104436 11832630545 18932208872 23665261090 37864417744 47330522180 94661044360 189322088720