Search a number
-
+
80815498092 = 223371971109727
BaseRepresentation
bin100101101000011111…
…0101010001101101100
321201121011121200002000
41023100332222031230
52311002231414332
6101043124332300
75560453254030
oct1132076521554
9251534550060
1080815498092
113130127294a
12137b4b44090
13780c082c74
143ca91ba1c0
15217eda7b7c
hex12d0faa36c

80815498092 has 384 divisors, whose sum is σ = 258306048000. Its totient is φ = 21339521280.

The previous prime is 80815498067. The next prime is 80815498117. The reversal of 80815498092 is 29089451808.

80815498092 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 549 + 8 + 0 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (80815498067) and next prime (80815498117).

It is a super-2 number, since 2×808154980922 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111162633 + ... + 111163359.

It is an arithmetic number, because the mean of its divisors is an integer number (672672000).

Almost surely, 280815498092 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 80815498092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024000).

80815498092 is an abundant number, since it is smaller than the sum of its proper divisors (177490549908).

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

80815498092 is a wasteful number, since it uses less digits than its factorization.

80815498092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 80815498092 in words is "eighty billion, eight hundred fifteen million, four hundred ninety-eight thousand, ninety-two".