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2661966336 = 2934314021
BaseRepresentation
bin1001111010101010…
…0110001000000000
320212111221220022210
42132222212020000
520422430410321
61120051102120
7122652224541
oct23652461000
96774856283
102661966336
111146679787
126235a1940
1333565ac13
141b37724c8
15108a70b76
hex9eaa6200

2661966336 has 80 divisors (see below), whose sum is σ = 7109866368. Its totient is φ = 885043200.

The previous prime is 2661966331. The next prime is 2661966337. The reversal of 2661966336 is 6336691662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2661966331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660006 + ... + 664026.

Almost surely, 22661966336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554933184).

2661966336 is an abundant number, since it is smaller than the sum of its proper divisors (4447900032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2661966336 is an equidigital number, since it uses as much as digits as its factorization.

2661966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4457 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 48.

The square root of 2661966336 is about 51594.2471211665. The cubic root of 2661966336 is about 1385.9073127134.

The spelling of 2661966336 in words is "two billion, six hundred sixty-one million, nine hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 431 512 768 862 1293 1536 1724 2586 3448 4021 5172 6896 8042 10344 12063 13792 16084 20688 24126 27584 32168 41376 48252 55168 64336 82752 96504 110336 128672 165504 193008 220672 257344 331008 386016 514688 662016 772032 1029376 1544064 1733051 2058752 3088128 3466102 5199153 6176256 6932204 10398306 13864408 20796612 27728816 41593224 55457632 83186448 110915264 166372896 221830528 332745792 443661056 665491584 887322112 1330983168 2661966336