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189201947961 = 31316351135821
BaseRepresentation
bin1011000000110101010…
…0001001110100111001
3200002100210211210210010
42300031110021310321
511044441144313321
6222530154212133
716445413010505
oct2601524116471
9602323753703
10189201947961
1173270626954
1230803424049
1314ac31b1680
14922bd7d305
154dc54c6676
hex2c0d509d39

189201947961 has 32 divisors (see below), whose sum is σ = 273441734272. Its totient is φ = 115675153920.

The previous prime is 189201947947. The next prime is 189201948043. The reversal of 189201947961 is 169749102981.

It is not a de Polignac number, because 189201947961 - 27 = 189201947833 is a prime.

It is a super-2 number, since 2×1892019479612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189201947461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32500431 + ... + 32506251.

It is an arithmetic number, because the mean of its divisors is an integer number (8545054196).

Almost surely, 2189201947961 is an apocalyptic number.

It is an amenable number.

189201947961 is a deficient number, since it is larger than the sum of its proper divisors (84239786311).

189201947961 is a wasteful number, since it uses less digits than its factorization.

189201947961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113.

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 189201947961 in words is "one hundred eighty-nine billion, two hundred one million, nine hundred forty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 163 489 2119 5113 5821 6357 15339 17463 66469 75673 199407 227019 833419 948823 2500257 2846469 10834447 12334699 29762773 32503341 37004097 89288319 386916049 1160748147 4851331999 14553995997 63067315987 189201947961