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79994186496 = 2833729471213
BaseRepresentation
bin100101010000000000…
…1100110101100000000
321122110221011201101000
41022200001212230000
52302312002431441
6100425425012000
75531221236420
oct1124001465400
9248427151330
1079994186496
1130a1a6a6334
1213605a84000
13770ab7a983
143c2c0a4480
152132c212b6
hex12a0066b00

79994186496 has 576 divisors, whose sum is σ = 285859123200. Its totient is φ = 21580038144.

The previous prime is 79994186491. The next prime is 79994186497. The reversal of 79994186496 is 69468149997.

79994186496 is a `hidden beast` number, since 7 + 9 + 99 + 41 + 8 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (79994186491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65946786 + ... + 65947998.

It is an arithmetic number, because the mean of its divisors is an integer number (496283200).

Almost surely, 279994186496 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 79994186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142929561600).

79994186496 is an abundant number, since it is smaller than the sum of its proper divisors (205864936704).

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

79994186496 is a wasteful number, since it uses less digits than its factorization.

79994186496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 79994186496 in words is "seventy-nine billion, nine hundred ninety-four million, one hundred eighty-six thousand, four hundred ninety-six".