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2500656664 = 2311231167499
BaseRepresentation
bin1001010100001100…
…1111111000011000
320110021102112001111
42111003033320120
520110132003124
61052045430104
7115653142132
oct22503177030
96407375044
102500656664
111073612400
1259956b334
1330b0cc2cc
1419a182052
15e980a494
hex950cfe18

2500656664 has 96 divisors (see below), whose sum is σ = 5362560000. Its totient is φ = 1091217600.

The previous prime is 2500656643. The next prime is 2500656713. The reversal of 2500656664 is 4666560052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5011087 + ... + 5011585.

It is an arithmetic number, because the mean of its divisors is an integer number (55860000).

Almost surely, 22500656664 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 2500656664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280000).

2500656664 is an abundant number, since it is smaller than the sum of its proper divisors (2861903336).

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

2500656664 is a wasteful number, since it uses less digits than its factorization.

2500656664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2500656664 is about 50006.5662088490. The cubic root of 2500656664 is about 1357.3276285834.

The spelling of 2500656664 in words is "two billion, five hundred million, six hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 167 242 248 334 341 484 499 668 682 968 998 1336 1364 1837 1996 2728 3674 3751 3992 5177 5489 7348 7502 10354 10978 14696 15004 15469 20207 20708 21956 30008 30938 40414 41416 43912 56947 60379 61876 80828 83333 113894 120758 123752 161656 166666 170159 227788 241516 333332 340318 455576 483032 626417 666664 680636 916663 1252834 1361272 1833326 1871749 2505668 2583323 3666652 3743498 5011336 5166646 7333304 7486996 10083293 10333292 14973992 20166586 20666584 28416553 40333172 56833106 80666344 113666212 227332424 312582083 625164166 1250328332 2500656664