Search a number
-
+
59275332091136 = 28733077752283
BaseRepresentation
bin11010111101001000111010…
…00111001111110100000000
321202212122222210212111211002
431132210131013033310000
530232131340003404021
6330022413414111132
715325333662355310
oct1536443507176400
9252778883774732
1059275332091136
111798358872a477
126793b5894b4a8
13270c841930895
14108cd27213440
156cbd4a07550b
hex35e91d1cfd00

59275332091136 has 36 divisors (see below), whose sum is σ = 135221851336992. Its totient is φ = 25403713752576.

The previous prime is 59275332091133. The next prime is 59275332091181. The reversal of 59275332091136 is 63119023357295.

59275332091136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59275332091133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16538874350 + ... + 16538877933.

Almost surely, 259275332091136 is an apocalyptic number.

59275332091136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

59275332091136 is an abundant number, since it is smaller than the sum of its proper divisors (75946519245856).

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

59275332091136 is an equidigital number, since it uses as much as digits as its factorization.

59275332091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33077752306 (or 33077752292 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 56.

The spelling of 59275332091136 in words is "fifty-nine trillion, two hundred seventy-five billion, three hundred thirty-two million, ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 33077752283 66155504566 132311009132 231544265981 264622018264 463088531962 529244036528 926177063924 1058488073056 1852354127848 2116976146112 3704708255696 4233952292224 7409416511392 8467904584448 14818833022784 29637666045568 59275332091136