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2987283162240 = 273451319722501
BaseRepresentation
bin101011011110000111111…
…100111010010010000000
3101120120200220021222120000
4223132013330322102000
5342420423442142430
610204201113320000
7425552442630246
oct53360774722200
911516626258500
102987283162240
11a51999515303
12402b57106000
13188913012030
14a4829dda796
1552a8d0c6e60
hex2b787f3a480

2987283162240 has 640 divisors, whose sum is σ = 11547584460720. Its totient is φ = 731566080000.

The previous prime is 2987283162233. The next prime is 2987283162257. The reversal of 2987283162240 is 422613827892.

2987283162240 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 2 + 8 + 3 + 1 + 622 + 4 + 0 = 666.

2987283162240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2647076936256 + 340206225984 = 1626984^2 + 583272^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×29872831622402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132750990 + ... + 132773490.

Almost surely, 22987283162240 is an apocalyptic number.

2987283162240 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 2987283162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773792230360).

2987283162240 is an abundant number, since it is smaller than the sum of its proper divisors (8560301298480).

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

2987283162240 is a wasteful number, since it uses less digits than its factorization.

2987283162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2987283162240 in words is "two trillion, nine hundred eighty-seven billion, two hundred eighty-three million, one hundred sixty-two thousand, two hundred forty".