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2591134968 = 2331726923609
BaseRepresentation
bin1001101001110001…
…1001010011111000
320200120200021221210
42122130121103320
520301312304333
61105041003120
7121132166232
oct23234312370
96616607853
102591134968
11110a6a0064
126039234a0
13323a8ab76
141a81b5252
1510272da63
hex9a7194f8

2591134968 has 64 divisors (see below), whose sum is σ = 6884676000. Its totient is φ = 809848832.

The previous prime is 2591134963. The next prime is 2591134999. The reversal of 2591134968 is 8694311952.

2591134968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25911349682 = 13427960844784722048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591134961) 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, 97948 + ... + 121556.

Almost surely, 22591134968 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 2591134968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442338000).

2591134968 is an abundant number, since it is smaller than the sum of its proper divisors (4293541032).

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

2591134968 is a wasteful number, since it uses less digits than its factorization.

2591134968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23904 (or 23900 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 2591134968 is about 50903.1921199447. The cubic root of 2591134968 is about 1373.5042631896.

The spelling of 2591134968 in words is "two billion, five hundred ninety-one million, one hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 269 408 538 807 1076 1614 2152 3228 4573 6456 9146 13719 18292 23609 27438 36584 47218 54876 70827 94436 109752 141654 188872 283308 401353 566616 802706 1204059 1605412 2408118 3210824 4816236 6350821 9632472 12701642 19052463 25403284 38104926 50806568 76209852 107963957 152419704 215927914 323891871 431855828 647783742 863711656 1295567484 2591134968