Search a number
-
+
80923126088448 = 28327219312371061
BaseRepresentation
bin10010011001100101100010…
…001011110100001100000000
3101121112011201210110010021200
4102121211202023310030000
541101321030234312243
6444035323152221200
723021334334320300
oct2231454213641400
9347464653403250
1080923126088448
112386a33a019526
1290ab53b23a800
133620030856717
1415da9b34cb600
15954ee237ead3
hex4999622f4300

80923126088448 has 1944 divisors, whose sum is σ = 303477477554160. Its totient is φ = 20605081190400.

The previous prime is 80923126088437. The next prime is 80923126088449. The reversal of 80923126088448 is 84488062132908.

80923126088448 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 3 + 12 + 608 + 8 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (80923126088449) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76270617838 + ... + 76270618898.

Almost surely, 280923126088448 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 80923126088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151738738777080).

80923126088448 is an abundant number, since it is smaller than the sum of its proper divisors (222554351465712).

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

80923126088448 is a wasteful number, since it uses less digits than its factorization.

80923126088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 80923126088448 in words is "eighty trillion, nine hundred twenty-three billion, one hundred twenty-six million, eighty-eight thousand, four hundred forty-eight".