Search a number
-
+
189375395833350 = 232521972292193199
BaseRepresentation
bin101011000011110001100101…
…001100101010011000000110
3220211112002222221110120201100
4223003301211030222120012
5144310211302313131400
61510433504505240530
754613630564056666
oct5303614514523006
9824462887416640
10189375395833350
1155382721a3a211
12192a6278a93146
13818903bc8288c
1434a9b64aa61a6
1516d614e24a100
hexac3c6532a606

189375395833350 has 144 divisors (see below), whose sum is σ = 511399043812800. Its totient is φ = 50241028723200.

The previous prime is 189375395833331. The next prime is 189375395833363. The reversal of 189375395833350 is 53338593573981.

189375395833350 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 7 + 5 + 3 + 9 + 583 + 3 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2031900051 + ... + 2031993249.

It is an arithmetic number, because the mean of its divisors is an integer number (3551382248700).

Almost surely, 2189375395833350 is an apocalyptic number.

189375395833350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189375395833350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255699521906400).

189375395833350 is an abundant number, since it is smaller than the sum of its proper divisors (322023647979450).

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

189375395833350 is a wasteful number, since it uses less digits than its factorization.

189375395833350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116335 (or 116327 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 189375395833350 in words is "one hundred eighty-nine trillion, three hundred seventy-five billion, three hundred ninety-five million, eight hundred thirty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 197 225 394 450 591 985 1182 1773 1970 2955 3546 4925 5910 8865 9850 14775 17730 22921 29550 44325 45842 68763 88650 93199 114605 137526 186398 206289 229210 279597 343815 412578 465995 559194 573025 687630 838791 931990 1031445 1146050 1397985 1677582 1719075 2062890 2329975 2795970 3438150 4193955 4515437 4659950 5157225 6989925 8387910 9030874 10314450 13546311 13979850 18360203 20969775 22577185 27092622 36720406 40638933 41939550 45154370 55080609 67731555 81277866 91801015 110161218 112885925 135463110 165241827 183602030 203194665 225771850 275403045 330483654 338657775 406389330 459005075 550806090 677315550 826209135 918010150 1015973325 1377015225 1652418270 2031946650 2136214279 2754030450 4131045675 4272428558 6408642837 8262091350 10681071395 12817285674 19225928511 21362142790 32043214185 38451857022 53405356975 64086428370 96129642555 106810713950 160216070925 192259285110 320432141850 420834212963 480648212775 841668425926 961296425550 1262502638889 2104171064815 2525005277778 3787507916667 4208342129630 6312513194445 7575015833334 10520855324075 12625026388890 18937539583335 21041710648150 31562565972225 37875079166670 63125131944450 94687697916675 189375395833350