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2492943359544 = 233211171274213463
BaseRepresentation
bin100100010001101111000…
…000001101111000111000
322211022201111202002022200
4210101233000031320320
5311321022000001134
65145124203550200
7345052313632551
oct44215700157070
98738644662280
102492943359544
11881284598920
1234319582b360
13151111737441
1488932811328
1544ca9359499
hex2446f00de38

2492943359544 has 384 divisors, whose sum is σ = 7881133178880. Its totient is φ = 703522713600.

The previous prime is 2492943359519. The next prime is 2492943359551. The reversal of 2492943359544 is 4459533492942.

It is a happy number.

2492943359544 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 9 + 4 + 33 + 59 + 544 = 666.

It is a super-3 number, since 3×24929433595443 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719877957 + ... + 719881419.

It is an arithmetic number, because the mean of its divisors is an integer number (20523784320).

Almost surely, 22492943359544 is an apocalyptic number.

2492943359544 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 2492943359544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940566589440).

2492943359544 is an abundant number, since it is smaller than the sum of its proper divisors (5388189819336).

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

2492943359544 is a wasteful number, since it uses less digits than its factorization.

2492943359544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4044 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 2492943359544 in words is "two trillion, four hundred ninety-two billion, nine hundred forty-three million, three hundred fifty-nine thousand, five hundred forty-four".