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994107047472 = 243572114710093
BaseRepresentation
bin11100111011101010110…
…01011011111000110000
310112000222000210102100000
432131311121123320300
5112241412401004342
62040404140030000
7131551620324300
oct16356531337060
93460860712300
10994107047472
1135366456a4a0
121407b8532300
1372989440296
1436187941600
151acd422644c
hexe77565be30

994107047472 has 720 divisors, whose sum is σ = 3739587651072. Its totient is φ = 252690762240.

The previous prime is 994107047449. The next prime is 994107047497. The reversal of 994107047472 is 274740701499.

It is a happy number.

994107047472 is a `hidden beast` number, since 9 + 94 + 10 + 7 + 0 + 474 + 72 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98489658 + ... + 98499750.

Almost surely, 2994107047472 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 994107047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869793825536).

994107047472 is an abundant number, since it is smaller than the sum of its proper divisors (2745480603600).

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

994107047472 is a wasteful number, since it uses less digits than its factorization.

994107047472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 994107047472 in words is "nine hundred ninety-four billion, one hundred seven million, forty-seven thousand, four hundred seventy-two".