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2612097696 = 2531331107631
BaseRepresentation
bin1001101110110001…
…0111001010100000
320202001010022102010
42123230113022200
520322144111241
61111110152520
7121505315115
oct23354271240
96661108363
102612097696
11112050872a
1260a952740
1332821a550
141aacb090c
151044bed16
hex9bb172a0

2612097696 has 192 divisors, whose sum is σ = 7705829376. Its totient is φ = 769305600.

The previous prime is 2612097689. The next prime is 2612097701. The reversal of 2612097696 is 6967902162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4139301 + ... + 4139931.

It is an arithmetic number, because the mean of its divisors is an integer number (40134528).

Almost surely, 22612097696 is an apocalyptic number.

2612097696 is a gapful number since it is divisible by the number (26) 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 2612097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852914688).

2612097696 is an abundant number, since it is smaller than the sum of its proper divisors (5093731680).

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

2612097696 is a wasteful number, since it uses less digits than its factorization.

2612097696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 2612097696 is about 51108.6851327639. The cubic root of 2612097696 is about 1377.1982812667.

The spelling of 2612097696 in words is "two billion, six hundred twelve million, ninety-seven thousand, six hundred ninety-six".