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189991855312 = 24710722517043
BaseRepresentation
bin1011000011110001100…
…1011010010011010000
3200011101212012020221221
42300330121122103100
511103100403332222
6223140412454424
716504114060420
oct2607431322320
9604355166857
10189991855312
11736364a3a46
12309a3a7a414
1314bbaa3c77c
1492a4c3c480
154e1ea080c7
hex2c3c65a4d0

189991855312 has 80 divisors (see below), whose sum is σ = 424876948992. Its totient is φ = 80616816000.

The previous prime is 189991855307. The next prime is 189991855343. The reversal of 189991855312 is 213558199981.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26972463 + ... + 26979505.

Almost surely, 2189991855312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189991855312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212438474496).

189991855312 is an abundant number, since it is smaller than the sum of its proper divisors (234885093680).

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

189991855312 is a wasteful number, since it uses less digits than its factorization.

189991855312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416 (or 9410 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 61.

The spelling of 189991855312 in words is "one hundred eighty-nine billion, nine hundred ninety-one million, eight hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2251 2996 4502 5992 7043 9004 11984 14086 15757 18008 28172 31514 36016 49301 56344 63028 98602 112688 126056 197204 240857 252112 394408 481714 753601 788816 963428 1507202 1685999 1926856 3014404 3371998 3853712 5275207 6028808 6743996 10550414 12057616 13487992 15853793 21100828 26975984 31707586 42201656 63415172 84403312 110976551 126830344 221953102 253660688 443906204 887812408 1696355851 1775624816 3392711702 6785423404 11874490957 13570846808 23748981914 27141693616 47497963828 94995927656 189991855312