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2661266616 = 2331911351647
BaseRepresentation
bin1001111010011111…
…1011010010111000
320212110122100111020
42132213323102320
520422241012431
61120024102440
7122643251541
oct23647732270
96773570436
102661266616
111146240aa8
12623304a20
13335474598
141b362d4c8
15108983696
hex9e9fb4b8

2661266616 has 64 divisors (see below), whose sum is σ = 7065446400. Its totient is φ = 832946688.

The previous prime is 2661266591. The next prime is 2661266633. The reversal of 2661266616 is 6166621662.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25705 + ... + 77351.

It is an arithmetic number, because the mean of its divisors is an integer number (110397600).

Almost surely, 22661266616 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 2661266616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532723200).

2661266616 is an abundant number, since it is smaller than the sum of its proper divisors (4404179784).

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

2661266616 is a wasteful number, since it uses less digits than its factorization.

2661266616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51788 (or 51784 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 2661266616 is about 51587.4656869283. The cubic root of 2661266616 is about 1385.7858696492.

The spelling of 2661266616 in words is "two billion, six hundred sixty-one million, two hundred sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 113 114 152 226 228 339 452 456 678 904 1356 2147 2712 4294 6441 8588 12882 17176 25764 51528 51647 103294 154941 206588 309882 413176 619764 981293 1239528 1962586 2943879 3925172 5836111 5887758 7850344 11672222 11775516 17508333 23344444 23551032 35016666 46688888 70033332 110886109 140066664 221772218 332658327 443544436 665316654 887088872 1330633308 2661266616