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2988499298400 = 25335272111971303
BaseRepresentation
bin101011011111010000011…
…100000110100001100000
3101120200211122200002202000
4223133100130012201200
5342430421310022100
610204521515324000
7425624540622600
oct53372034064140
911520748602660
102988499298400
11a52462a42410
12403236450600
13188a77c66025
14a490372ac00
1552b0ec4d900
hex2b7d0706860

2988499298400 has 1728 divisors, whose sum is σ = 13796251983360. Its totient is φ = 617360486400.

The previous prime is 2988499298399. The next prime is 2988499298419. The reversal of 2988499298400 is 48929948892.

It is a happy number.

2988499298400 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 49 + 92 + 98 + 400 = 666.

It is a super-2 number, since 2×29884992984002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2293552149 + ... + 2293553451.

It is an arithmetic number, because the mean of its divisors is an integer number (7983942120).

Almost surely, 22988499298400 is an apocalyptic number.

2988499298400 is a gapful number since it is divisible by the number (20) 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 2988499298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898125991680).

2988499298400 is an abundant number, since it is smaller than the sum of its proper divisors (10807752684960).

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

2988499298400 is a wasteful number, since it uses less digits than its factorization.

2988499298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 2988499298400 in words is "two trillion, nine hundred eighty-eight billion, four hundred ninety-nine million, two hundred ninety-eight thousand, four hundred".