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2494412863488 = 2113271319292699
BaseRepresentation
bin100100010011000110100…
…101111011100000000000
322211110111220212121202200
4210103012211323200000
5311332024143112423
65145530100313200
7345133606334610
oct44230645734000
98743456777680
102494412863488
11881969039997
123435259a2800
131512b700c9c0
1488a31a56a40
1544d4337cd43
hex244c697b800

2494412863488 has 1152 divisors, whose sum is σ = 9658958400000. Its totient is φ = 601528467456.

The previous prime is 2494412863457. The next prime is 2494412863529. The reversal of 2494412863488 is 8843682144942.

It is a happy number.

2494412863488 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 4 + 1 + 286 + 348 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×24944128634882 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a nude number because it is divisible by every one of its digits.

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, 924197563 + ... + 924200261.

It is an arithmetic number, because the mean of its divisors is an integer number (8384512500).

Almost surely, 22494412863488 is an apocalyptic number.

2494412863488 is a gapful number since it is divisible by the number (28) 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 2494412863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829479200000).

2494412863488 is an abundant number, since it is smaller than the sum of its proper divisors (7164545536512).

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

2494412863488 is a wasteful number, since it uses less digits than its factorization.

2494412863488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2772 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 2494412863488 in words is "two trillion, four hundred ninety-four billion, four hundred twelve million, eight hundred sixty-three thousand, four hundred eighty-eight".