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2888433189312 = 2631121187104743
BaseRepresentation
bin101010000010000100000…
…010001100000111000000
3101020010112212122001212120
4222002010002030013000
5334311002344024222
610050532231324240
7415453032004326
oct52020402140700
911203485561776
102888433189312
11a13a83263600
123a796a520680
1317c4bb84aaa8
149db2d9bbd16
1550204d0615c
hex2a08408c1c0

2888433189312 has 168 divisors, whose sum is σ = 8407385255808. Its totient is φ = 874537044480.

The previous prime is 2888433189277. The next prime is 2888433189329. The reversal of 2888433189312 is 2139813348882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27524013 + ... + 27628755.

It is an arithmetic number, because the mean of its divisors is an integer number (50043959856).

Almost surely, 22888433189312 is an apocalyptic number.

2888433189312 is a gapful number since it is divisible by the number (22) 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 2888433189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203692627904).

2888433189312 is an abundant number, since it is smaller than the sum of its proper divisors (5518952066496).

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

2888433189312 is a wasteful number, since it uses less digits than its factorization.

2888433189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105967 (or 105946 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

It can be divided in two parts, 288843318 and 9312, that added together give a triangular number (288852630 = T24035).

The spelling of 2888433189312 in words is "two trillion, eight hundred eighty-eight billion, four hundred thirty-three million, one hundred eighty-nine thousand, three hundred twelve".