Search a number
-
+
80508686778 = 23313223537237
BaseRepresentation
bin100101011111010110…
…0010001000110111010
321200210210022001002000
41022332230101012322
52304340210434103
6100552444321430
75550036355302
oct1127654210672
9250723261060
1080508686778
1131164066a83
121372a243276
13779063bb00
143c7a552602
152162ea0aa3
hex12beb111ba

80508686778 has 192 divisors, whose sum is σ = 205994638080. Its totient is φ = 23244579072.

The previous prime is 80508686747. The next prime is 80508686809. The reversal of 80508686778 is 87768680508.

80508686778 is a `hidden beast` number, since 8 + 0 + 508 + 68 + 67 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (80508686747) and next prime (80508686809).

It is a super-2 number, since 2×805086867782 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11120976 + ... + 11128212.

It is an arithmetic number, because the mean of its divisors is an integer number (1072888740).

Almost surely, 280508686778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80508686778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102997319040).

80508686778 is an abundant number, since it is smaller than the sum of its proper divisors (125485951302).

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

80508686778 is a wasteful number, since it uses less digits than its factorization.

80508686778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 80508686778 in words is "eighty billion, five hundred eight million, six hundred eighty-six thousand, seven hundred seventy-eight".