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36213401142 = 232109157117563
BaseRepresentation
bin100001101110011111…
…001010011000110110
310110110202220101101100
4201232133022120312
51043131112314032
624345230510530
72421254554662
oct415637123066
9113422811340
1036213401142
11143a35802a6
127027965446
13355172ab19
141a777278a2
15e1e36697c
hex86e7ca636

36213401142 has 48 divisors (see below), whose sum is σ = 79687230480. Its totient is φ = 11884107456.

The previous prime is 36213401089. The next prime is 36213401149. The reversal of 36213401142 is 24110431263.

It is a happy number.

36213401142 is a `hidden beast` number, since 3 + 6 + 213 + 401 + 1 + 42 = 666.

It is a super-2 number, since 2×362134011422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36213401149) 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, 249253 + ... + 366815.

It is an arithmetic number, because the mean of its divisors is an integer number (1660150635).

Almost surely, 236213401142 is an apocalyptic number.

36213401142 is an abundant number, since it is smaller than the sum of its proper divisors (43473829338).

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

36213401142 is a wasteful number, since it uses less digits than its factorization.

36213401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117837 (or 117834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36213401142 in words is "thirty-six billion, two hundred thirteen million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 109 157 218 314 327 471 654 942 981 1413 1962 2826 17113 34226 51339 102678 117563 154017 235126 308034 352689 705378 1058067 2116134 12814367 18457391 25628734 36914782 38443101 55372173 76886202 110744346 115329303 166116519 230658606 332233038 2011855619 4023711238 6035566857 12071133714 18106700571 36213401142