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994512842400 = 2535271122389239
BaseRepresentation
bin11100111100011011001…
…01011010111010100000
310112002000022100221022210
432132031211122322200
5112243230241424100
62040512313402120
7131564645453010
oct16361545327240
93462008327283
10994512842400
11353852633200
121408b0409340
1372a2253041c
14361c57b3c40
151ad09b81c50
hexe78d95aea0

994512842400 has 1728 divisors, whose sum is σ = 4308924211200. Its totient is φ = 194628403200.

The previous prime is 994512842399. The next prime is 994512842459. The reversal of 994512842400 is 4248215499.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 994512842400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4161141481 + ... + 4161141719.

It is an arithmetic number, because the mean of its divisors is an integer number (2493590400).

Almost surely, 2994512842400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994512842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154462105600).

994512842400 is an abundant number, since it is smaller than the sum of its proper divisors (3314411368800).

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

994512842400 is a wasteful number, since it uses less digits than its factorization.

994512842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 994512842400 in words is "nine hundred ninety-four billion, five hundred twelve million, eight hundred forty-two thousand, four hundred".