Search a number
-
+
36729400521857 = 167817372690783
BaseRepresentation
bin10000101100111101110101…
…10111101111010010000001
311211001022000001222222002012
420112132322313233102001
514303233303013144412
6210041130442502305
710510416533136161
oct1026367267572201
9154038001888065
1036729400521857
111078094007434a
1241524a1b04995
13176574c058b74
1490d9d903a5a1
1543a638ec9c22
hex2167badef481

36729400521857 has 8 divisors (see below), whose sum is σ = 36949802835456. Its totient is φ = 36509003753632.

The previous prime is 36729400521829. The next prime is 36729400521859. The reversal of 36729400521857 is 75812500492763.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36729400521857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36729400521796 and 36729400521805.

It is not an unprimeable number, because it can be changed into a prime (36729400521859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12304688 + ... + 14995470.

It is an arithmetic number, because the mean of its divisors is an integer number (4618725354432).

It is a 1-persistent number, because it is pandigital, but 2⋅36729400521857 = 73458801043714 is not.

Almost surely, 236729400521857 is an apocalyptic number.

It is an amenable number.

36729400521857 is a deficient number, since it is larger than the sum of its proper divisors (220402313599).

36729400521857 is a wasteful number, since it uses less digits than its factorization.

36729400521857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772687.

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 36729400521857 in words is "thirty-six trillion, seven hundred twenty-nine billion, four hundred million, five hundred twenty-one thousand, eight hundred fifty-seven".

Divisors: 1 167 81737 2690783 13650079 449360761 219936530071 36729400521857