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816937864488 = 2336416156009
BaseRepresentation
bin10111110001101010100…
…10101000110100101000
32220002122210201102000000
423320311102220310220
5101341042043130423
61423143541343000
7113010324163104
oct13706522506450
92802583642000
10816937864488
11295509144009
121123b2a07a60
135c063125ab5
142b77baac904
15163b52e3843
hexbe354a8d28

816937864488 has 224 divisors, whose sum is σ = 2391211405800. Its totient is φ = 261310924800.

The previous prime is 816937864487. The next prime is 816937864489. The reversal of 816937864488 is 884468739618.

816937864488 is a `hidden beast` number, since 8 + 1 + 69 + 3 + 7 + 86 + 4 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (816937864487) and next prime (816937864489).

It can be written as a sum of positive squares in 4 ways, for example, as 475744026564 + 341193837924 = 689742^2 + 584118^2 .

It is a super-5 number, since 5×8169378644885 (a number of 61 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (816937864487) 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 55 ways as a sum of consecutive naturals, for example, 14557828 + ... + 14613836.

Almost surely, 2816937864488 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 816937864488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195605702900).

816937864488 is an abundant number, since it is smaller than the sum of its proper divisors (1574273541312).

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

816937864488 is a wasteful number, since it uses less digits than its factorization.

816937864488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56135 (or 56116 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 816937864488 in words is "eight hundred sixteen billion, nine hundred thirty-seven million, eight hundred sixty-four thousand, four hundred eighty-eight".