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2661314328 = 2332165722307
BaseRepresentation
bin1001111010100000…
…0110111100011000
320212110201202221100
42132220012330120
520422244024303
61120025111400
7122643540621
oct23650067430
96773652840
102661314328
111146273932
12623328560
1333549020a
141b3642a48
151089928a3
hex9ea06f18

2661314328 has 48 divisors (see below), whose sum is σ = 7212399480. Its totient is φ = 886529664.

The previous prime is 2661314297. The next prime is 2661314389. The reversal of 2661314328 is 8234131662.

2661314328 is a `hidden beast` number, since 2 + 6 + 613 + 1 + 4 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2661314292 and 2661314301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108151 + ... + 130457.

Almost surely, 22661314328 is an apocalyptic number.

It is an amenable number.

2661314328 is an abundant number, since it is smaller than the sum of its proper divisors (4551085152).

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

2661314328 is a wasteful number, since it uses less digits than its factorization.

2661314328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23976 (or 23969 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2661314328 is about 51587.9281227692. The cubic root of 2661314328 is about 1385.7941511970.

The spelling of 2661314328 in words is "two billion, six hundred sixty-one million, three hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1657 3314 4971 6628 9942 13256 14913 19884 22307 29826 39768 44614 59652 66921 89228 119304 133842 178456 200763 267684 401526 535368 803052 1606104 36962699 73925398 110888097 147850796 221776194 295701592 332664291 443552388 665328582 887104776 1330657164 2661314328