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806909372352 = 26323179572023
BaseRepresentation
bin10111011110111111000…
…10111110011111000000
32212010202220100020000100
423233133202332133000
5101210022244403402
61414404500122400
7112203652332516
oct13573742763700
92763686306010
10806909372352
11291232339486
12110474396400
135b125570a95
142b0a9c504b6
1515ec9ba871c
hexbbdf8be7c0

806909372352 has 168 divisors, whose sum is σ = 2417693757440. Its totient is φ = 256998044160.

The previous prime is 806909372341. The next prime is 806909372369. The reversal of 806909372352 is 253273909608.

It is a happy number.

806909372352 is a `hidden beast` number, since 80 + 69 + 0 + 93 + 72 + 352 = 666.

It is a super-2 number, since 2×8069093723522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124613 + ... + 1696635.

Almost surely, 2806909372352 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 806909372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208846878720).

806909372352 is an abundant number, since it is smaller than the sum of its proper divisors (1610784385088).

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

806909372352 is a wasteful number, since it uses less digits than its factorization.

806909372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572151 (or 572138 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 806909372352 in words is "eight hundred six billion, nine hundred nine million, three hundred seventy-two thousand, three hundred fifty-two".