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189876319504 = 2441226572
BaseRepresentation
bin1011000011010110000…
…0101011010100010000
3200011002210210102121221
42300311200223110100
511102331314211004
6223121124254424
716501212041344
oct2606540532420
9604083712557
10189876319504
1173587261203
1230971241414
1314b9cb197a1
149293765624
154e147d5354
hex2c3582b510

189876319504 has 45 divisors (see below), whose sum is σ = 377219003791. Its totient is φ = 92587735040.

The previous prime is 189876319421. The next prime is 189876319517. The reversal of 189876319504 is 405913678981.

The square root of 189876319504 is 435748.

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

189876319504 is digitally balanced in base 3, 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 4 ways, for example, as 30157795600 + 159718523904 = 173660^2 + 399648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71461344 + ... + 71464000.

Almost surely, 2189876319504 is an apocalyptic number.

189876319504 is the 435748-th square number.

It is an amenable number.

189876319504 is a deficient number, since it is larger than the sum of its proper divisors (187342684287).

189876319504 is an frugal number, since it uses more digits than its factorization.

189876319504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 189876319504 in words is "one hundred eighty-nine billion, eight hundred seventy-six million, three hundred nineteen thousand, five hundred four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 2657 3362 5314 6724 10628 13448 21256 26896 42512 108937 217874 435748 871496 1742992 4466417 7059649 8932834 14119298 17865668 28238596 35731336 56477192 71462672 112954384 289445609 578891218 1157782436 2315564872 4631129744 11867269969 23734539938 47469079876 94938159752 189876319504