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42918165889 = 22329292
BaseRepresentation
bin100111111110000111…
…110011110110000001
311002210001002201112121
4213332013303312001
51200344022302024
631414421124241
73046360251034
oct477607636601
9132701081477
1042918165889
1117224205295
128399259681
13407c813941
142111d9101b
1511b2cb38e4
hex9fe1f3d81

42918165889 has 9 divisors (see below), whose sum is σ = 43157943363. Its totient is φ = 42679716672.

The previous prime is 42918165877. The next prime is 42918165893. The reversal of 42918165889 is 98856181924.

The square root of 42918165889 is 207167.

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., 827540289 + 42090625600 = 28767^2 + 205160^2 .

It is not a de Polignac number, because 42918165889 - 215 = 42918133121 is a prime.

It is a Duffinian number.

Its product of digits (9953280) is a multiple of the sum of its prime divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (42918165809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46197777 + ... + 46198705.

Almost surely, 242918165889 is an apocalyptic number.

42918165889 is the 207167-th square number.

42918165889 is the 103584-th centered octagonal number.

It is an amenable number.

42918165889 is a deficient number, since it is larger than the sum of its proper divisors (239777474).

42918165889 is an frugal number, since it uses more digits than its factorization.

42918165889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 1152 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 61.

The spelling of 42918165889 in words is "forty-two billion, nine hundred eighteen million, one hundred sixty-five thousand, eight hundred eighty-nine".

Divisors: 1 223 929 49729 207167 863041 46198241 192458143 42918165889