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86270008451 = 11233199316889
BaseRepresentation
bin101000001011000010…
…1111101110010000011
322020200022020111122012
41100112011331302003
52403140110232301
6103344253403135
76142564654424
oct1202605756203
9266608214565
1086270008451
1133650197250
12148777994ab
13819b12a4a3
14426579164b
15239db8debb
hex141617dc83

86270008451 has 16 divisors (see below), whose sum is σ = 94569677280. Its totient is φ = 78046878720.

The previous prime is 86270008423. The next prime is 86270008453. The reversal of 86270008451 is 15480007268.

It is a cyclic number.

It is not a de Polignac number, because 86270008451 - 26 = 86270008387 is a prime.

It is a super-2 number, since 2×862700084512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86270008399 and 86270008408.

It is not an unprimeable number, because it can be changed into a prime (86270008453) 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, 5099615 + ... + 5116503.

It is an arithmetic number, because the mean of its divisors is an integer number (5910604830).

Almost surely, 286270008451 is an apocalyptic number.

86270008451 is a deficient number, since it is larger than the sum of its proper divisors (8299668829).

86270008451 is a wasteful number, since it uses less digits than its factorization.

86270008451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126.

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 86270008451 in words is "eighty-six billion, two hundred seventy million, eight thousand, four hundred fifty-one".

Divisors: 1 11 233 1993 2563 16889 21923 185779 464369 3935137 5108059 33659777 43286507 370257547 7842728041 86270008451