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22793601601 = 3127110092689
BaseRepresentation
bin10101001110100110…
…101100001001000001
32011211112011221012201
4111032212230021001
5333140130222401
614245441553201
71434563262661
oct251646541101
964745157181
1022793601601
119737437281
124501645801
1321c33a4734
1411633221a1
158d613eb01
hex54e9ac241

22793601601 has 16 divisors (see below), whose sum is σ = 23647897600. Its totient is φ = 21946982400.

The previous prime is 22793601563. The next prime is 22793601631. The reversal of 22793601601 is 10610639722.

It is a 4-Lehmer number, since φ(22793601601) divides (22793601601-1)4.

It is a cyclic number.

It is not a de Polignac number, because 22793601601 - 219 = 22793077313 is a prime.

It is the 150976-th Hogben number.

It is a deceptive number, since it divides R22793601600.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22793601631) by changing a digit.

It is a nontrivial repunit in base 150975.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8475265 + ... + 8477953.

It is an arithmetic number, because the mean of its divisors is an integer number (1477993600).

Almost surely, 222793601601 is an apocalyptic number.

It is an amenable number.

22793601601 is a deficient number, since it is larger than the sum of its proper divisors (854295999).

22793601601 is a wasteful number, since it uses less digits than its factorization.

22793601601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 22793601601 in words is "twenty-two billion, seven hundred ninety-three million, six hundred one thousand, six hundred one".

Divisors: 1 31 271 1009 2689 8401 31279 83359 273439 728719 2713201 8476609 22590289 84109231 735277471 22793601601