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189883291536 = 2432363132
BaseRepresentation
bin1011000011010111101…
…1010001011110010000
3200011010021220122110100
42300311323101132100
511102340110312121
6223121533532400
716501325230101
oct2606573213620
9604107818410
10189883291536
1173590193414
1230973644100
1314ba13bb053
14929465c3a8
154e15211026
hex2c35ed1790

189883291536 has 45 divisors (see below), whose sum is σ = 531424124049. Its totient is φ = 63292687488.

The previous prime is 189883291519. The next prime is 189883291573. The reversal of 189883291536 is 635192388981.

The square root of 189883291536 is 435756.

It is a perfect power (a square), and thus also a powerful number.

189883291536 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 8 + 3 + 2 + 91 + 536 = 666.

189883291536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24279872400 + 165603419136 = 155820^2 + 406944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5210916 + ... + 5247228.

Almost surely, 2189883291536 is an apocalyptic number.

189883291536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189883291536 is the 435756-th square number.

It is an amenable number.

189883291536 is an abundant number, since it is smaller than the sum of its proper divisors (341540832513).

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

189883291536 is an frugal number, since it uses more digits than its factorization.

189883291536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72640 (or 36318 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 189883291536 in words is "one hundred eighty-nine billion, eight hundred eighty-three million, two hundred ninety-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36313 72626 108939 145252 217878 290504 326817 435756 581008 653634 871512 1307268 1743024 2614536 5229072 1318633969 2637267938 3955901907 5274535876 7911803814 10549071752 11867705721 15823607628 21098143504 23735411442 31647215256 47470822884 63294430512 94941645768 189883291536