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3290872057398 = 233672909312679
BaseRepresentation
bin101111111000110111010…
…000101000111000110110
3102122121022112100202221000
4233320313100220320312
5412404201221314043
610555450013104130
7456520606644042
oct57706720507066
912577275322830
103290872057398
111059718535662
12451962488046
131ab435533333
14b53c9a3b022
155a90a8a22d3
hex2fe37428e36

3290872057398 has 64 divisors (see below), whose sum is σ = 7424774208000. Its totient is φ = 1080209937312.

The previous prime is 3290872057397. The next prime is 3290872057399. The reversal of 3290872057398 is 8937502780923.

3290872057398 is a `hidden beast` number, since 32 + 9 + 0 + 8 + 7 + 20 + 573 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3290872057397) and next prime (3290872057399).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290872057397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10368423 + ... + 10681101.

It is an arithmetic number, because the mean of its divisors is an integer number (116012097000).

Almost surely, 23290872057398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290872057398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712387104000).

3290872057398 is an abundant number, since it is smaller than the sum of its proper divisors (4133902150602).

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

3290872057398 is a wasteful number, since it uses less digits than its factorization.

3290872057398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315666 (or 315660 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3290872057398 in words is "three trillion, two hundred ninety billion, eight hundred seventy-two million, fifty-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 2909 3618 5818 8727 17454 26181 52362 78543 157086 194903 312679 389806 584709 625358 938037 1169418 1754127 1876074 2814111 3508254 5262381 5628222 8442333 10524762 16884666 20949493 41898986 62848479 125696958 188545437 377090874 565636311 909583211 1131272622 1819166422 2728749633 5457499266 8186248899 16372497798 24558746697 49117493394 60942075137 121884150274 182826225411 365652450822 548478676233 1096957352466 1645436028699 3290872057398