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2625286740480 = 29335233474759
BaseRepresentation
bin100110001100111111010…
…010001001101000000000
3100021222022202011102021000
4212030333102021220000
5321003041401143410
65330012353532000
7360446024050365
oct46147722115000
910258282142230
102625286740480
11922417a18808
1236496b274000
13160742c627c1
14910c91dc46c
1548452cacdc0
hex2633f489a00

2625286740480 has 640 divisors, whose sum is σ = 9760775270400. Its totient is φ = 667568259072.

The previous prime is 2625286740437. The next prime is 2625286740497. The reversal of 2625286740480 is 840476825262.

2625286740480 is a `hidden beast` number, since 2 + 6 + 2 + 528 + 6 + 74 + 0 + 48 + 0 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551644341 + ... + 551649099.

It is an arithmetic number, because the mean of its divisors is an integer number (15251211360).

Almost surely, 22625286740480 is an apocalyptic number.

2625286740480 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 2625286740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880387635200).

2625286740480 is an abundant number, since it is smaller than the sum of its proper divisors (7135488529920).

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

2625286740480 is a wasteful number, since it uses less digits than its factorization.

2625286740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2625286740480 in words is "two trillion, six hundred twenty-five billion, two hundred eighty-six million, seven hundred forty thousand, four hundred eighty".