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189406003264 = 26544012
BaseRepresentation
bin1011000001100101111…
…0100100000001000000
3200002220000210220000221
42300121132210001000
511100400414101024
6223002323552424
716453441315102
oct2603136440100
9602800726027
10189406003264
11733658296a5
123085b82b714
1314b2655875a
14924b0d9572
154dd83823e4
hex2c197a4040

189406003264 has 21 divisors (see below), whose sum is σ = 375859446781. Its totient is φ = 94701260800.

The previous prime is 189406003187. The next prime is 189406003333. The reversal of 189406003264 is 462300604981.

It is a happy number.

The square root of 189406003264 is 435208.

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

It can be written as a sum of positive squares in only one way, i.e., 135135641664 + 54270361600 = 367608^2 + 232960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189406003264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3454464 + ... + 3508864.

Almost surely, 2189406003264 is an apocalyptic number.

189406003264 is the 435208-th square number.

It is an amenable number.

189406003264 is a deficient number, since it is larger than the sum of its proper divisors (186453443517).

189406003264 is an frugal number, since it uses more digits than its factorization.

189406003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108814 (or 54403 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 189406003264 in words is "one hundred eighty-nine billion, four hundred six million, three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 54401 108802 217604 435208 870416 1740832 3481664 2959468801 5918937602 11837875204 23675750408 47351500816 94703001632 189406003264