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86320002368 = 261375798041
BaseRepresentation
bin101000001100100010…
…0101011010101000000
322020210210022110101202
41100121010223111000
52403240410033433
6103353241120332
76144042625325
oct1203104532500
9266723273352
1086320002368
1133676433436
12148904890a8
1381a85b2ba2
14426c286b4c
1523a3266ee8
hex141912b540

86320002368 has 28 divisors (see below), whose sum is σ = 171305453172. Its totient is φ = 43156423680.

The previous prime is 86320002341. The next prime is 86320002401.

It is a happy number.

86320002368 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 31297855744 + 55022146624 = 176912^2 + 234568^2 .

It is a super-2 number, since 2×863200023682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831428 + ... + 929468.

It is an arithmetic number, because the mean of its divisors is an integer number (6118051899).

Almost surely, 286320002368 is an apocalyptic number.

It is an amenable number.

86320002368 is a deficient number, since it is larger than the sum of its proper divisors (84985450804).

86320002368 is a wasteful number, since it uses less digits than its factorization.

86320002368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111810 (or 111800 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

It can be divided in two parts, 8632000 and 2368, that added together give a palindrome (8634368).

The spelling of 86320002368 in words is "eighty-six billion, three hundred twenty million, two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 13757 27514 55028 98041 110056 196082 220112 392164 440224 784328 880448 1568656 3137312 6274624 1348750037 2697500074 5395000148 10790000296 21580000592 43160001184 86320002368