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2134066961 = 13223853863
BaseRepresentation
bin111111100110011…
…0100011100010001
312111201121211112002
41333030310130101
513332310120321
6551432243345
7103612161365
oct17714643421
95451554462
102134066961
119a5697104
124b6840555
13280188020
141635d72a5
15c754620b
hex7f334711

2134066961 has 16 divisors (see below), whose sum is σ = 2313916416. Its totient is φ = 1956505536.

The previous prime is 2134066943. The next prime is 2134066997. The reversal of 2134066961 is 1696604312.

It is a cyclic number.

It is not a de Polignac number, because 2134066961 - 226 = 2066958097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2134066061) 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 15 ways as a sum of consecutive naturals, for example, 2472416 + ... + 2473278.

It is an arithmetic number, because the mean of its divisors is an integer number (144619776).

Almost surely, 22134066961 is an apocalyptic number.

It is an amenable number.

2134066961 is a deficient number, since it is larger than the sum of its proper divisors (179849455).

2134066961 is a wasteful number, since it uses less digits than its factorization.

2134066961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 2134066961 is about 46195.9626049723. The cubic root of 2134066961 is about 1287.4667270881.

The spelling of 2134066961 in words is "two billion, one hundred thirty-four million, sixty-six thousand, nine hundred sixty-one".

Divisors: 1 13 223 853 863 2899 11089 11219 190219 192449 736139 2472847 2501837 9569807 164158997 2134066961