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806523236010 = 2325113154951197
BaseRepresentation
bin10111011110010001000…
…01111110111010101010
32212002202222202110112100
423233020201332322222
5101203224422023020
61414302303554230
7112161253251552
oct13571041767252
92762688673470
10806523236010
11291054382538
12110386bbb976
135b09357483b
142b070858162
1515ea5d32a90
hexbbc887eeaa

806523236010 has 96 divisors (see below), whose sum is σ = 2116924664400. Its totient is φ = 213027784704.

The previous prime is 806523236003. The next prime is 806523236027. The reversal of 806523236010 is 10632325608.

It is a happy number.

806523236010 is a `hidden beast` number, since 8 + 0 + 6 + 5 + 23 + 23 + 601 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 295445515401 + 511077720609 = 543549^2 + 714897^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15727732 + ... + 15778928.

Almost surely, 2806523236010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806523236010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058462332200).

806523236010 is an abundant number, since it is smaller than the sum of its proper divisors (1310401428390).

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

806523236010 is a wasteful number, since it uses less digits than its factorization.

806523236010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52872 (or 52869 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 806523236010 in words is "eight hundred six billion, five hundred twenty-three million, two hundred thirty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1549 1695 2034 3098 3390 4647 5085 7745 9294 10170 13941 15490 23235 27882 46470 51197 69705 102394 139410 153591 175037 255985 307182 350074 460773 511970 525111 767955 875185 921546 1050222 1535910 1575333 1750370 2303865 2625555 3150666 4607730 5251110 5785261 7876665 11570522 15753330 17355783 28926305 34711566 52067349 57852610 79304153 86778915 104134698 158608306 173557830 237912459 260336745 396520765 475824918 520673490 713737377 793041530 1189562295 1427474754 2379124590 3568686885 7137373770 8961369289 17922738578 26884107867 44806846445 53768215734 80652323601 89613692890 134420539335 161304647202 268841078670 403261618005 806523236010