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320999422968 = 23327319727941
BaseRepresentation
bin1001010101111010000…
…11100111101111111000
31010200120000001020120100
410222331003213233320
520224401323013333
6403244243355400
732122444035000
oct4527503475770
91120500036510
10320999422968
11114153895614
1252266082b60
13243685a0b83
1411772065000
15853b045213
hex4abd0e7bf8

320999422968 has 384 divisors, whose sum is σ = 1069810560000. Its totient is φ = 86675339520.

The previous prime is 320999422963. The next prime is 320999422969. The reversal of 320999422968 is 869224999023.

320999422968 is a `hidden beast` number, since 32 + 0 + 9 + 99 + 422 + 96 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320999422963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341125378 + ... + 341126318.

It is an arithmetic number, because the mean of its divisors is an integer number (2785965000).

Almost surely, 2320999422968 is an apocalyptic number.

320999422968 is a gapful number since it is divisible by the number (38) 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 320999422968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534905280000).

320999422968 is an abundant number, since it is smaller than the sum of its proper divisors (748811137032).

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

320999422968 is a wasteful number, since it uses less digits than its factorization.

320999422968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 320999422968 in words is "three hundred twenty billion, nine hundred ninety-nine million, four hundred twenty-two thousand, nine hundred sixty-eight".