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189918911016 = 233217929167021
BaseRepresentation
bin1011000011100000001…
…1001001101000101000
3200011012202221022012100
42300320003021220220
511102423220123031
6223125245213400
716502240052012
oct2607003115050
9604182838170
10189918911016
11735a93018aa
1230983561260
1314ba88aca73
1492992911b2
154e183e9de6
hex2c380c9a28

189918911016 has 96 divisors (see below), whose sum is σ = 545209914600. Its totient is φ = 59517911040.

The previous prime is 189918910997. The next prime is 189918911029. The reversal of 189918911016 is 610119819981.

It can be written as a sum of positive squares in 4 ways, for example, as 107750688516 + 82168222500 = 328254^2 + 286650^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053586 + ... + 1220606.

Almost surely, 2189918911016 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 189918911016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272604957300).

189918911016 is an abundant number, since it is smaller than the sum of its proper divisors (355291003584).

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

189918911016 is a wasteful number, since it uses less digits than its factorization.

189918911016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167979 (or 167972 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 54.

The spelling of 189918911016 in words is "one hundred eighty-nine billion, nine hundred eighteen million, nine hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 929 1224 1858 2787 3716 5574 7432 8361 11148 15793 16722 22296 31586 33444 47379 63172 66888 94758 126344 142137 167021 189516 284274 334042 379032 501063 568548 668084 1002126 1137096 1336168 1503189 2004252 2839357 3006378 4008504 5678714 6012756 8518071 11357428 12025512 17036142 22714856 25554213 34072284 51108426 68144568 102216852 155162509 204433704 310325018 465487527 620650036 930975054 1241300072 1396462581 1861950108 2637762653 2792925162 3723900216 5275525306 5585850324 7913287959 10551050612 11171700648 15826575918 21102101224 23739863877 31653151836 47479727754 63306303672 94959455508 189918911016