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2661252864 = 2836751719
BaseRepresentation
bin1001111010011111…
…0111111100000000
320212110121122121220
42132213313330000
520422240042424
61120023515040
7122643163464
oct23647677400
96773548556
102661252864
111146231736
126232b8a80
1333546b24a
141b36284a4
1510897e579
hex9e9f7f00

2661252864 has 72 divisors (see below), whose sum is σ = 7188666240. Its totient is φ = 873827328.

The previous prime is 2661252827. The next prime is 2661252871. The reversal of 2661252864 is 4682521662.

It is a happy number.

It is a super-2 number, since 2×26612528642 = 14164533612296404992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25597 + ... + 77315.

Almost surely, 22661252864 is an apocalyptic number.

2661252864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594333120).

2661252864 is an abundant number, since it is smaller than the sum of its proper divisors (4527413376).

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

2661252864 is an equidigital number, since it uses as much as digits as its factorization.

2661252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51805 (or 51791 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 2661252864 is about 51587.3323985647. The cubic root of 2661252864 is about 1385.7834826455.

The spelling of 2661252864 in words is "two billion, six hundred sixty-one million, two hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 6432 8576 12864 17152 25728 51456 51719 103438 155157 206876 310314 413752 620628 827504 1241256 1655008 2482512 3310016 3465173 4965024 6620032 6930346 9930048 10395519 13240064 13860692 19860096 20791038 27721384 39720192 41582076 55442768 83164152 110885536 166328304 221771072 332656608 443542144 665313216 887084288 1330626432 2661252864