Search a number
-
+
2661275712 = 26329598101
BaseRepresentation
bin1001111010011111…
…1101100001000000
320212110122210222010
42132213331201000
520422241310322
61120024212520
7122643320214
oct23647754100
96773583863
102661275712
111146247917
1262330a140
13335478774
141b3632944
1510898620c
hex9e9fd840

2661275712 has 112 divisors (see below), whose sum is σ = 7408468800. Its totient is φ = 841881600.

The previous prime is 2661275707. The next prime is 2661275713. The reversal of 2661275712 is 2175721662.

2661275712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×26612757123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2661275713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324462 + ... + 332562.

Almost surely, 22661275712 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 2661275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704234400).

2661275712 is an abundant number, since it is smaller than the sum of its proper divisors (4747193088).

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

2661275712 is a wasteful number, since it uses less digits than its factorization.

2661275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8194 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 2661275712 is about 51587.5538478033. The cubic root of 2661275712 is about 1385.7874484831.

The spelling of 2661275712 in words is "two billion, six hundred sixty-one million, two hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 174 177 192 232 236 348 354 464 472 696 708 928 944 1392 1416 1711 1856 1888 2784 2832 3422 3776 5133 5568 5664 6844 8101 10266 11328 13688 16202 20532 24303 27376 32404 41064 48606 54752 64808 82128 97212 109504 129616 164256 194424 234929 259232 328512 388848 469858 477959 518464 704787 777696 939716 955918 1409574 1433877 1555392 1879432 1911836 2819148 2867754 3758864 3823672 5638296 5735508 7517728 7647344 11276592 11471016 13860811 15035456 15294688 22553184 22942032 27721622 30589376 41582433 45106368 45884064 55443244 83164866 91768128 110886488 166329732 221772976 332659464 443545952 665318928 887091904 1330637856 2661275712