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85861833156 = 2232111738333301
BaseRepresentation
bin100111111110111000…
…0111001100111000100
322012121212012001101200
41033331300321213010
52401321112130111
6103235553022500
76126510353121
oct1177560714704
9265555161350
1085861833156
11334608480a0
1214782b54a30
1381346b5a48
14422749d748
152377e13256
hex13fdc399c4

85861833156 has 144 divisors (see below), whose sum is σ = 251360299008. Its totient is φ = 24423552000.

The previous prime is 85861833137. The next prime is 85861833157. The reversal of 85861833156 is 65133816858.

85861833156 is a `hidden beast` number, since 8 + 5 + 8 + 618 + 3 + 3 + 15 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (85861833157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561706 + ... + 2595006.

It is an arithmetic number, because the mean of its divisors is an integer number (1745557632).

Almost surely, 285861833156 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 85861833156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125680149504).

85861833156 is an abundant number, since it is smaller than the sum of its proper divisors (165498465852).

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

85861833156 is a wasteful number, since it uses less digits than its factorization.

85861833156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 33717 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 85861833156 in words is "eighty-five billion, eight hundred sixty-one million, eight hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 383 396 561 612 748 766 1122 1149 1532 1683 2244 2298 3366 3447 4213 4596 6511 6732 6894 8426 12639 13022 13788 16852 19533 25278 26044 33301 37917 39066 50556 58599 66602 71621 75834 78132 99903 117198 133204 143242 151668 199806 214863 234396 286484 299709 366311 399612 429726 566117 599418 644589 732622 859452 1098933 1132234 1198836 1289178 1465244 1698351 2197866 2264468 2578356 3296799 3396702 4395732 5095053 6227287 6593598 6793404 10190106 12454574 12754283 13187196 18681861 20380212 24909148 25508566 37363722 38262849 51017132 56045583 74727444 76525698 112091166 114788547 140297113 153051396 216822811 224182332 229577094 280594226 420891339 433645622 459154188 561188452 650468433 841782678 867291244 1262674017 1300936866 1683565356 1951405299 2385050921 2525348034 2601873732 3902810598 4770101842 5050696068 7155152763 7805621196 9540203684 14310305526 21465458289 28620611052 42930916578 85861833156