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189693352260 = 223251370976873
BaseRepresentation
bin1011000010101010011…
…0101101100101000100
3200010122001111201202100
42300222212231211010
511101442444233020
6223051030512100
716463530614216
oct2605246554504
9603561451670
10189693352260
11734a2a52205
123091bb05630
1314b70c47149
1492773385b6
154e036e2a90
hex2c2a9ad944

189693352260 has 72 divisors (see below), whose sum is σ = 575452626840. Its totient is φ = 50580546048.

The previous prime is 189693352259. The next prime is 189693352271. The reversal of 189693352260 is 62253396981.

189693352260 is a `hidden beast` number, since 1 + 89 + 6 + 9 + 33 + 522 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111721725504 + 77971626756 = 334248^2 + 279234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 189693352197 and 189693352206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429184 + ... + 2506056.

It is an arithmetic number, because the mean of its divisors is an integer number (7992397595).

Almost surely, 2189693352260 is an apocalyptic number.

189693352260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189693352260 is an abundant number, since it is smaller than the sum of its proper divisors (385759274580).

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

189693352260 is a wasteful number, since it uses less digits than its factorization.

189693352260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90597 (or 90592 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 189693352260 in words is "one hundred eighty-nine billion, six hundred ninety-three million, three hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13709 27418 41127 54836 68545 76873 82254 123381 137090 153746 164508 205635 230619 246762 274180 307492 384365 411270 461238 493524 616905 691857 768730 822540 922476 1153095 1233810 1383714 1537460 2306190 2467620 2767428 3459285 4612380 6918570 13837140 1053851957 2107703914 3161555871 4215407828 5269259785 6323111742 9484667613 10538519570 12646223484 15807779355 18969335226 21077039140 31615558710 37938670452 47423338065 63231117420 94846676130 189693352260