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86246029056 = 2831110209047
BaseRepresentation
bin101000001010010101…
…0011111011100000000
322020121122010020002110
41100110222133130000
52403112440412211
6103342035415320
76142154102565
oct1202452373400
9266548106073
1086246029056
11336386a9170
121486b754540
1381961829b5
14426250c86c
15239ba03ea6
hex1414a9f700

86246029056 has 72 divisors (see below), whose sum is σ = 250407529344. Its totient is φ = 26135157760.

The previous prime is 86246029049. The next prime is 86246029063. The reversal of 86246029056 is 65092064268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86246029049) and next prime (86246029063).

It is a super-2 number, since 2×862460290562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 86246028996 and 86246029014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5096076 + ... + 5112971.

It is an arithmetic number, because the mean of its divisors is an integer number (3477882352).

Almost surely, 286246029056 is an apocalyptic number.

It is an amenable number.

86246029056 is an abundant number, since it is smaller than the sum of its proper divisors (164161500288).

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

86246029056 is a wasteful number, since it uses less digits than its factorization.

86246029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209077 (or 10209063 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 86246029056 in words is "eighty-six billion, two hundred forty-six million, twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 10209047 20418094 30627141 40836188 61254282 81672376 112299517 122508564 163344752 224599034 245017128 326689504 336898551 449198068 490034256 653379008 673797102 898396136 980068512 1306758016 1347594204 1796792272 1960137024 2613516032 2695188408 3593584544 3920274048 5390376816 7187169088 7840548096 10780753632 14374338176 21561507264 28748676352 43123014528 86246029056