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80431263420480 = 2633574171311741
BaseRepresentation
bin10010010010011011011100…
…111000101001000001000000
3101112210011011001001201002000
4102102123130320221001000
541020241211413423410
6443021340132224000
722640652454530000
oct2222333470510100
9345704131051060
1080431263420480
112369a7863a9025
12903014b46b000
1335b583553391b
1415c0c72cc0000
15947305d22dc0
hex4926dce29040

80431263420480 has 2240 divisors, whose sum is σ = 353364289724160. Its totient is φ = 17160914534400.

The previous prime is 80431263420401. The next prime is 80431263420491. The reversal of 80431263420480 is 8402436213408.

It is a happy number.

80431263420480 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 1 + 2 + 634 + 2 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46198312410 + ... + 46198314150.

Almost surely, 280431263420480 is an apocalyptic number.

80431263420480 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 80431263420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176682144862080).

80431263420480 is an abundant number, since it is smaller than the sum of its proper divisors (272933026303680).

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

80431263420480 is a wasteful number, since it uses less digits than its factorization.

80431263420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

Adding to 80431263420480 its reverse (8402436213408), we get a palindrome (88833699633888).

The spelling of 80431263420480 in words is "eighty trillion, four hundred thirty-one billion, two hundred sixty-three million, four hundred twenty thousand, four hundred eighty".