Search a number
-
+
80923446938880 = 283557213408431
BaseRepresentation
bin10010011001100101110101…
…010011110000110100000000
3101121112012120011012000100000
4102121211311103300310000
541101322204404021010
6444035415053200000
723021345311440300
oct2231456523606400
9347465504160300
1080923446938880
112386a494144177
1290ab60a790000
133620082174a50
1415daa03d6b600
1595501060b7c0
hex4999754f0d00

80923446938880 has 1296 divisors, whose sum is σ = 363744291665664. Its totient is φ = 17073916231680.

The previous prime is 80923446938857. The next prime is 80923446938891. The reversal of 80923446938880 is 8883964432908.

80923446938880 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 3 + 4 + 469 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 80923446938799 and 80923446938808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197928265 + ... + 198336695.

Almost surely, 280923446938880 is an apocalyptic number.

80923446938880 is a gapful number since it is divisible by the number (80) 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 80923446938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181872145832832).

80923446938880 is an abundant number, since it is smaller than the sum of its proper divisors (282820844726784).

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

80923446938880 is a wasteful number, since it uses less digits than its factorization.

80923446938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408494 (or 408461 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 80923446938880 in words is "eighty trillion, nine hundred twenty-three billion, four hundred forty-six million, nine hundred thirty-eight thousand, eight hundred eighty".