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2338920183264 = 2537176113125621
BaseRepresentation
bin100010000010010010100…
…000011011010111100000
322021121011100222001010020
4202002102200123113200
5301310102031331024
64550252440433440
7330660423346440
oct42022240332740
98247140861106
102338920183264
11821a265168a5
1231936b778880
1313c736810502
14812c09d6120
1540c92477979
hex2209281b5e0

2338920183264 has 384 divisors, whose sum is σ = 7609246977024. Its totient is φ = 613896192000.

The previous prime is 2338920183211. The next prime is 2338920183307. The reversal of 2338920183264 is 4623810298332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91276374 + ... + 91301994.

It is an arithmetic number, because the mean of its divisors is an integer number (19815747336).

Almost surely, 22338920183264 is an apocalyptic number.

2338920183264 is a gapful number since it is divisible by the number (24) 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 2338920183264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804623488512).

2338920183264 is an abundant number, since it is smaller than the sum of its proper divisors (5270326793760).

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

2338920183264 is a wasteful number, since it uses less digits than its factorization.

2338920183264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 2338920183264 in words is "two trillion, three hundred thirty-eight billion, nine hundred twenty million, one hundred eighty-three thousand, two hundred sixty-four".