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36846338116 = 2272137112
BaseRepresentation
bin100010010100001101…
…101000000001000100
310112002212212220200111
4202110031220001010
51100430130304431
624532120522404
72443041464200
oct422415500104
9115085786614
1036846338116
1114698885205
127183920404
1336228b9443
141ad7805b00
15e59bdd7b1
hex894368044

36846338116 has 27 divisors (see below), whose sum is σ = 75014087967. Its totient is φ = 15790136040.

The previous prime is 36846338099. The next prime is 36846338141. The reversal of 36846338116 is 61183364863.

The square root of 36846338116 is 191954.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 36846338116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2680501 + ... + 2694211.

Almost surely, 236846338116 is an apocalyptic number.

36846338116 is the 191954-th square number.

It is an amenable number.

36846338116 is an abundant number, since it is smaller than the sum of its proper divisors (38167749851).

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

36846338116 is an frugal number, since it uses more digits than its factorization.

36846338116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27440 (or 13720 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

Multiplying 36846338116 by its sum of digits (49), we get a square (1805470567684 = 13436782).

36846338116 divided by its sum of digits (49) gives a square (751966084 = 274222).

The spelling of 36846338116 in words is "thirty-six billion, eight hundred forty-six million, three hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 13711 27422 54844 95977 191954 383908 671839 1343678 2687356 187991521 375983042 751966084 1315940647 2631881294 5263762588 9211584529 18423169058 36846338116