Search a number
-
+
2561111652 = 2231121763851
BaseRepresentation
bin1001100010100111…
…0111011001100100
320121111011221201010
42120221313121210
520221121033102
61102045302220
7120316042551
oct23051673144
96544157633
102561111652
1110a4754100
125b5864970
1331a7a83a8
141a41dba28
15eec9cd6c
hex98a77664

2561111652 has 36 divisors (see below), whose sum is σ = 6568584848. Its totient is φ = 776094000.

The previous prime is 2561111629. The next prime is 2561111671.

2561111652 is nontrivially palindromic in base 10.

2561111652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 880474 + ... + 883377.

Almost surely, 22561111652 is an apocalyptic number.

2561111652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2561111652 is an abundant number, since it is smaller than the sum of its proper divisors (4007473196).

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

2561111652 is a wasteful number, since it uses less digits than its factorization.

2561111652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763880 (or 1763867 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 2561111652 is about 50607.4268462644. The cubic root of 2561111652 is about 1368.1787389142.

The spelling of 2561111652 in words is "two billion, five hundred sixty-one million, one hundred eleven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1763851 3527702 5291553 7055404 10583106 19402361 21166212 38804722 58207083 77609444 116414166 213425971 232828332 426851942 640277913 853703884 1280555826 2561111652