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86327419501 = 294388378401
BaseRepresentation
bin101000001100110000…
…0111110001001101101
322020211022021021210101
41100121200332021231
52403244304411001
6103354104111101
76144162646531
oct1203140761155
9266738237711
1086327419501
113367a639aa4
1214892a65491
1381a9cabc1b
14426d257bc1
1523a3c2ea01
hex141983e26d

86327419501 has 16 divisors (see below), whose sum is σ = 91485725760. Its totient is φ = 81318988800.

The previous prime is 86327419487. The next prime is 86327419511. The reversal of 86327419501 is 10591472368.

It is a 6-Lehmer number, since φ(86327419501) divides (86327419501-1)6.

It is a cyclic number.

It is not a de Polignac number, because 86327419501 - 25 = 86327419469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86327419511) 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, 1061901 + ... + 1140301.

It is an arithmetic number, because the mean of its divisors is an integer number (5717857860).

It is a 2-persistent number, because it is pandigital, and so is 2⋅86327419501 = 172654839002, but 3⋅86327419501 = 258982258503 is not.

Almost surely, 286327419501 is an apocalyptic number.

It is an amenable number.

86327419501 is a deficient number, since it is larger than the sum of its proper divisors (5158306259).

86327419501 is a wasteful number, since it uses less digits than its factorization.

86327419501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79356.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 86327419501 in words is "eighty-six billion, three hundred twenty-seven million, four hundred nineteen thousand, five hundred one".

Divisors: 1 29 43 883 1247 25607 37969 78401 1101101 2273629 3371243 69228083 97766047 2007614407 2976807569 86327419501