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806817495420 = 223452331698507
BaseRepresentation
bin10111011110110100001…
…00011111100101111100
32212010112111110101120000
423233122010133211330
5101204330234323140
61414351414554300
7112201455361656
oct13573204374574
92763474411500
10806817495420
11291195495a32
12110449668990
135b10c512731
142b09b9756d6
1515ec1aaaa30
hexbbda11f97c

806817495420 has 240 divisors, whose sum is σ = 2726259959808. Its totient is φ = 199158030720.

The previous prime is 806817495359. The next prime is 806817495499. The reversal of 806817495420 is 24594718608.

It is a happy number.

806817495420 is a `hidden beast` number, since 8 + 0 + 68 + 1 + 74 + 95 + 420 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805807 + ... + 1504313.

Almost surely, 2806817495420 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 806817495420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363129979904).

806817495420 is an abundant number, since it is smaller than the sum of its proper divisors (1919442464388).

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

806817495420 is a wasteful number, since it uses less digits than its factorization.

806817495420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698582 (or 698571 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 806817495420 in words is "eight hundred six billion, eight hundred seventeen million, four hundred ninety-five thousand, four hundred twenty".