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852687109056 = 263311093131071
BaseRepresentation
bin11000110100010000001…
…11001011101111000000
310000111221020020012021010
430122020013023233000
5102432300344442211
61451415152000520
7115414244560656
oct14321007135700
93014836205233
10852687109056
112a9693709632
1211930b230140
136253c63b453
142d3ad8d0dd6
15172a8a224a6
hexc6881cbbc0

852687109056 has 112 divisors (see below), whose sum is σ = 2330992836608. Its totient is φ = 274806604800.

The previous prime is 852687109051. The next prime is 852687109093. The reversal of 852687109056 is 650901786258.

It is a super-2 number, since 2×8526871090562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 852687108987 and 852687109005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852687109051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6440001 + ... + 6571071.

Almost surely, 2852687109056 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 852687109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165496418304).

852687109056 is an abundant number, since it is smaller than the sum of its proper divisors (1478305727552).

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

852687109056 is a wasteful number, since it uses less digits than its factorization.

852687109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132210 (or 132200 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 852687109056 in words is "eight hundred fifty-two billion, six hundred eighty-seven million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1093 1488 1984 2186 2976 3279 4372 5952 6558 8744 13116 17488 26232 33883 34976 52464 67766 69952 101649 104928 131071 135532 203298 209856 262142 271064 393213 406596 524284 542128 786426 813192 1048568 1084256 1572852 1626384 2097136 2168512 3145704 3252768 4063201 4194272 6291408 6505536 8126402 8388544 12189603 12582816 16252804 24379206 25165632 32505608 48758412 65011216 97516824 130022432 143260603 195033648 260044864 286521206 390067296 429781809 573042412 780134592 859563618 1146084824 1719127236 2292169648 3438254472 4441078693 4584339296 6876508944 8882157386 9168678592 13323236079 13753017888 17764314772 26646472158 27506035776 35528629544 53292944316 71057259088 106585888632 142114518176 213171777264 284229036352 426343554528 852687109056