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80600022097920 = 2133251321072113
BaseRepresentation
bin10010010100111000100111…
…101011111010000000000000
3101120101021202010021202202200
4102110320213223322000000
541031022321124113140
6443231050004313200
722656105453602643
oct2224704753720000
9346337663252680
1080600022097920
1123755306266186
1290589a83a2800
1335c871b258a00
1415c90c1b4ba5a
1594b8d16be030
hex494e27afa000

80600022097920 has 1512 divisors, whose sum is σ = 308098148383116. Its totient is φ = 19480650448896.

The previous prime is 80600022097913. The next prime is 80600022097921. The reversal of 80600022097920 is 2979022000608.

It can be written as a sum of positive squares in 6 ways, for example, as 422055936 + 80599600041984 = 20544^2 + 8977728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80600022097921) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 713274531784 + ... + 713274531896.

Almost surely, 280600022097920 is an apocalyptic number.

80600022097920 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 80600022097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154049074191558).

80600022097920 is an abundant number, since it is smaller than the sum of its proper divisors (227498126285196).

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

80600022097920 is a wasteful number, since it uses less digits than its factorization.

80600022097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 80600022097920 in words is "eighty trillion, six hundred billion, twenty-two million, ninety-seven thousand, nine hundred twenty".