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78627863808 = 2838132277
BaseRepresentation
bin100100100111010010…
…1011111110100000000
321111221201012100000000
41021032211133310000
52242012213120213
6100042100000000
75452320546354
oct1111645376400
9244851170000
1078627863808
113038941992a
12132a4390000
137550a90c00
143b3c83b464
1520a2ccec73
hex124e95fd00

78627863808 has 486 divisors, whose sum is σ = 255832678374. Its totient is φ = 24105848832.

The previous prime is 78627863807. The next prime is 78627863813. The reversal of 78627863808 is 80836872687.

It can be written as a sum of positive squares in 3 ways, for example, as 2425365504 + 76202498304 = 49248^2 + 276048^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78627863807) 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 53 ways as a sum of consecutive naturals, for example, 283854966 + ... + 283855242.

Almost surely, 278627863808 is an apocalyptic number.

78627863808 is a gapful number since it is divisible by the number (78) 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 78627863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127916339187).

78627863808 is an abundant number, since it is smaller than the sum of its proper divisors (177204814566).

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

78627863808 is an frugal number, since it uses more digits than its factorization.

78627863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 78627863808 in words is "seventy-eight billion, six hundred twenty-seven million, eight hundred sixty-three thousand, eight hundred eight".