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773114002080 = 2535717291014621
BaseRepresentation
bin10110100000000010010…
…11110111101010100000
32201220112122101112101220
423100001023313222200
5100131314141031310
61351055204055040
7106566325406310
oct13200113675240
92656478345356
10773114002080
1127896a776602
12105a02394480
1357b9aaa2974
14295c171b440
151519cc7a670
hexb4012f7aa0

773114002080 has 768 divisors, whose sum is σ = 3079396776960. Its totient is φ = 158957568000.

The previous prime is 773114002069. The next prime is 773114002081. The reversal of 773114002080 is 80200411377.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (773114002081) by changing a digit.

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, 167302170 + ... + 167306790.

It is an arithmetic number, because the mean of its divisors is an integer number (4009631220).

Almost surely, 2773114002080 is an apocalyptic number.

773114002080 is a gapful number since it is divisible by the number (70) 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 773114002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539698388480).

773114002080 is an abundant number, since it is smaller than the sum of its proper divisors (2306282774880).

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

773114002080 is a wasteful number, since it uses less digits than its factorization.

773114002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 773114002080 in words is "seven hundred seventy-three billion, one hundred fourteen million, two thousand, eighty".