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2605012088 = 2372314632
BaseRepresentation
bin1001101101000101…
…0101010001111000
320201112210022210012
42123101111101320
520313340341323
61110254241052
7121361144300
oct23321252170
96645708705
102605012088
111117509158
126084b6188
13326909393
141a9d88600
15103a70678
hex9b455478

2605012088 has 72 divisors (see below), whose sum is σ = 5877830880. Its totient is φ = 1078086240.

The previous prime is 2605012079. The next prime is 2605012097. The reversal of 2605012088 is 8802105062.

It is an interprime number because it is at equal distance from previous prime (2605012079) and next prime (2605012097).

It is a super-2 number, since 2×26050120882 = 13572175957252239488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5626145 + ... + 5626607.

It is an arithmetic number, because the mean of its divisors is an integer number (81636540).

Almost surely, 22605012088 is an apocalyptic number.

2605012088 is a gapful number since it is divisible by the number (28) 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 2605012088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938915440).

2605012088 is an abundant number, since it is smaller than the sum of its proper divisors (3272818792).

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

2605012088 is an equidigital number, since it uses as much as digits as its factorization.

2605012088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2605012088 is about 51039.3190393446. The cubic root of 2605012088 is about 1375.9518853173.

The spelling of 2605012088 in words is "two billion, six hundred five million, twelve thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 463 868 926 1519 1736 1852 3038 3241 3704 6076 6482 12152 12964 14353 22687 25928 28706 45374 57412 90748 100471 114824 181496 200942 214369 401884 428738 703297 803768 857476 1406594 1500583 1714952 2813188 3001166 5626376 6002332 6645439 10504081 12004664 13290878 21008162 26581756 42016324 46518073 53163512 84032648 93036146 186072292 325626511 372144584 651253022 1302506044 2605012088