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36872014842 = 232131493105541
BaseRepresentation
bin100010010101101111…
…100100101111111010
310112011200012102112100
4202111233210233322
51101003213433332
624534435124230
72443502645355
oct422557445772
9115150172470
1036872014842
1114701322543
127190443676
133628009680
141adadab29c
15e5c0b167c
hex895be4bfa

36872014842 has 48 divisors (see below), whose sum is σ = 86093142408. Its totient is φ = 11337528960.

The previous prime is 36872014841. The next prime is 36872014847. The reversal of 36872014842 is 24841027863.

It is a happy number.

36872014842 is a `hidden beast` number, since 368 + 7 + 201 + 4 + 84 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36161205921 + 710808921 = 190161^2 + 26661^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36872014841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296592 + ... + 402132.

Almost surely, 236872014842 is an apocalyptic number.

36872014842 is an abundant number, since it is smaller than the sum of its proper divisors (49221127566).

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

36872014842 is a wasteful number, since it uses less digits than its factorization.

36872014842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107055 (or 107052 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 36872014842 in words is "thirty-six billion, eight hundred seventy-two million, fourteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1493 2986 4479 8958 13437 19409 26874 38818 58227 105541 116454 174681 211082 316623 349362 633246 949869 1372033 1899738 2744066 4116099 8232198 12348297 24696594 157572713 315145426 472718139 945436278 1418154417 2048445269 2836308834 4096890538 6145335807 12290671614 18436007421 36872014842