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46987932289 = 1724123112
BaseRepresentation
bin101011110000101100…
…101111001010000001
311111021200002021111111
4223300230233022001
51232212402313124
633330322243321
73252255556144
oct536054571201
9144250067444
1046987932289
1118a2250aaa1
1291341b6541
13457aa2173c
1423ba6a605b
15135021a494
hexaf0b2f281

46987932289 has 27 divisors (see below), whose sum is σ = 51326672713. Its totient is φ = 43006572800.

The previous prime is 46987932269. The next prime is 46987932293. The reversal of 46987932289 is 98223978964.

The square root of 46987932289 is 216767.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3310276225 + 43677656064 = 57535^2 + 208992^2 .

It is not a de Polignac number, because 46987932289 - 27 = 46987932161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46987932269) 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 26 ways as a sum of consecutive naturals, for example, 151086444 + ... + 151086754.

Almost surely, 246987932289 is an apocalyptic number.

46987932289 is the 216767-th square number.

46987932289 is the 108384-th centered octagonal number.

It is an amenable number.

46987932289 is a deficient number, since it is larger than the sum of its proper divisors (4338740424).

46987932289 is an frugal number, since it uses more digits than its factorization.

46987932289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 67.

The spelling of 46987932289 in words is "forty-six billion, nine hundred eighty-seven million, nine hundred thirty-two thousand, two hundred eighty-nine".

Divisors: 1 17 41 289 311 697 1681 5287 11849 12751 28577 89879 96721 216767 485809 522791 1644257 3685039 3965561 8887447 27952369 67414537 151086599 162588001 1146047129 2763996017 46987932289