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189151282032 = 24323439294289
BaseRepresentation
bin1011000000101001001…
…0111000001101110000
3200002020021111201012020
42300022102320031300
511044340212011112
6222521144231440
716444226240436
oct2601222701560
9602207451166
10189151282032
1173244a70889
12307aa46b580
1314ab585212b
149225350d56
154dc0d1948c
hex2c0a4b8370

189151282032 has 160 divisors (see below), whose sum is σ = 522427276800. Its totient is φ = 58829438976.

The previous prime is 189151281953. The next prime is 189151282079. The reversal of 189151282032 is 230282151981.

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, 44099344 + ... + 44103632.

It is an arithmetic number, because the mean of its divisors is an integer number (3265170480).

Almost surely, 2189151282032 is an apocalyptic number.

189151282032 is a gapful number since it is divisible by the number (12) 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 189151282032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261213638400).

189151282032 is an abundant number, since it is smaller than the sum of its proper divisors (333275994768).

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

189151282032 is a wasteful number, since it uses less digits than its factorization.

189151282032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 189151282032 in words is "one hundred eighty-nine billion, one hundred fifty-one million, two hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 86 92 129 138 172 184 258 276 344 368 516 552 688 929 989 1032 1104 1858 1978 2064 2787 2967 3716 3956 4289 5574 5934 7432 7912 8578 11148 11868 12867 14864 15824 17156 21367 22296 23736 25734 34312 39947 42734 44592 47472 51468 64101 68624 79894 85468 98647 102936 119841 128202 159788 170936 184427 197294 205872 239682 256404 295941 319576 341872 368854 394588 479364 512808 553281 591882 639152 737708 789176 918781 958728 1025616 1106562 1183764 1475416 1578352 1837562 1917456 2213124 2367528 2756343 2950832 3675124 3984481 4241821 4426248 4735056 5512686 7350248 7968962 8483642 8852496 11025372 11953443 12725463 14700496 15937924 16967284 22050744 23906886 25450926 31875848 33934568 44101488 47813772 50901852 63751696 67869136 91643063 95627544 101803704 171332683 183286126 191255088 203607408 274929189 342665366 366572252 513998049 549858378 685330732 733144504 1027996098 1099716756 1370661464 1466289008 2055992196 2199433512 2741322928 3940651709 4111984392 4398867024 7881303418 8223968784 11821955127 15762606836 23643910254 31525213672 47287820508 63050427344 94575641016 189151282032