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2858641852416 = 211372379157233
BaseRepresentation
bin101001100110010100010…
…101010000100000000000
3101010021122122222100110120
4221212110111100200000
5333313444303234131
610025124131500240
7413346544553610
oct51462425204000
911107578870416
102858641852416
11a0238588a219
123a2035457680
131797517841ac
149c50516ca40
154e55e698496
hex29994550800

2858641852416 has 768 divisors, whose sum is σ = 9302036889600. Its totient is φ = 763152039936.

The previous prime is 2858641852357. The next prime is 2858641852421. The reversal of 2858641852416 is 6142581468582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 2858641852416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12268849036 + ... + 12268849268.

It is an arithmetic number, because the mean of its divisors is an integer number (12112027200).

Almost surely, 22858641852416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2858641852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651018444800).

2858641852416 is an abundant number, since it is smaller than the sum of its proper divisors (6443395037184).

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

2858641852416 is a wasteful number, since it uses less digits than its factorization.

2858641852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 60.

The spelling of 2858641852416 in words is "two trillion, eight hundred fifty-eight billion, six hundred forty-one million, eight hundred fifty-two thousand, four hundred sixteen".