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2858106486144 = 2737133159197227
BaseRepresentation
bin101001100101110100011…
…010111111110110000000
3101010020021100120221000010
4221211310122333312000
5333311400230024034
610024555045024520
7413330354201160
oct51456432776600
911106240527003
102858106486144
11a02130667658
123a1b060b5140
13179697898710
149c49400c5a0
154e52c6963e9
hex299746bfd80

2858106486144 has 1024 divisors, whose sum is σ = 9901921075200. Its totient is φ = 710323568640.

The previous prime is 2858106486091. The next prime is 2858106486149. The reversal of 2858106486144 is 4416846018582.

It is a super-3 number, since 3×28581064861443 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858106486149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12590777359 + ... + 12590777585.

It is an arithmetic number, because the mean of its divisors is an integer number (9669844800).

Almost surely, 22858106486144 is an apocalyptic number.

2858106486144 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 2858106486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950960537600).

2858106486144 is an abundant number, since it is smaller than the sum of its proper divisors (7043814589056).

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

2858106486144 is a wasteful number, since it uses less digits than its factorization.

2858106486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 2858106486144 in words is "two trillion, eight hundred fifty-eight billion, one hundred six million, four hundred eighty-six thousand, one hundred forty-four".