Search a number
-
+
86132829402 = 23219138365413
BaseRepresentation
bin101000000110111101…
…0101010110011011010
322020022202010002100200
41100031322222303122
52402400001020102
6103322513243030
76136310653464
oct1201572526332
9266282102320
1086132829402
113358a811634
1214839863476
13817889a159
144251483134
152391ae351c
hex140deaacda

86132829402 has 48 divisors (see below), whose sum is σ = 188090892288. Its totient is φ = 28485617760.

The previous prime is 86132829401. The next prime is 86132829403. The reversal of 86132829402 is 20492823168.

86132829402 is a `hidden beast` number, since 8 + 613 + 2 + 8 + 29 + 4 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86132829401) and next prime (86132829403).

It is not an unprimeable number, because it can be changed into a prime (86132829401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284048 + ... + 1349460.

It is an arithmetic number, because the mean of its divisors is an integer number (3918560256).

Almost surely, 286132829402 is an apocalyptic number.

86132829402 is an abundant number, since it is smaller than the sum of its proper divisors (101958062886).

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

86132829402 is a wasteful number, since it uses less digits than its factorization.

86132829402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65995 (or 65992 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86132829402 in words is "eighty-six billion, one hundred thirty-two million, eight hundred twenty-nine thousand, four hundred two".

Divisors: 1 2 3 6 9 18 191 382 383 573 766 1146 1149 1719 2298 3438 3447 6894 65413 73153 130826 146306 196239 219459 392478 438918 588717 658377 1177434 1316754 12493883 24987766 25053179 37481649 50106358 74963298 75159537 112444947 150319074 224889894 225478611 450957222 4785157189 9570314378 14355471567 28710943134 43066414701 86132829402