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994958052480 = 27335723438317
BaseRepresentation
bin11100111101010000001…
…11110000110010000000
310112010011100002221202000
432132220013300302000
5112300133230134410
62041024420024000
7131611662622410
oct16365007606200
93463140087660
10994958052480
11353a60978117
121409b5532000
1372a93840b42
1436228986640
151ad33cc5dc0
hexe7a81f0c80

994958052480 has 1024 divisors, whose sum is σ = 4300552396800. Its totient is φ = 212446789632.

The previous prime is 994958052463. The next prime is 994958052511. The reversal of 994958052480 is 84250859499.

994958052480 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 580 + 5 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 119625282 + ... + 119633598.

It is an arithmetic number, because the mean of its divisors is an integer number (4199758200).

Almost surely, 2994958052480 is an apocalyptic number.

994958052480 is a gapful number since it is divisible by the number (90) 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 994958052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150276198400).

994958052480 is an abundant number, since it is smaller than the sum of its proper divisors (3305594344320).

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

994958052480 is a wasteful number, since it uses less digits than its factorization.

994958052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 994958052480 in words is "nine hundred ninety-four billion, nine hundred fifty-eight million, fifty-two thousand, four hundred eighty".