Search a number
-
+
11530055515032 = 23322937321117013
BaseRepresentation
bin1010011111001000110011…
…0111001111101110011000
31111211021002101121202020100
42213302030313033232120
53002402023202440112
640304500120455400
72300006344546155
oct247621467175630
944737071552210
1011530055515032
11374596182872a
12136272831a560
136583832a3642
142bc0b433522c
1514edcac302dc
hexa7c8cdcfb98

11530055515032 has 192 divisors, whose sum is σ = 32410605427200. Its totient is φ = 3698593274880.

The previous prime is 11530055514961. The next prime is 11530055515063. The reversal of 11530055515032 is 23051555003511.

11530055515032 is a `hidden beast` number, since 1 + 1 + 53 + 0 + 0 + 5 + 551 + 50 + 3 + 2 = 666.

It is a super-2 number, since 2×115300555150322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644093958 + ... + 1644100970.

It is an arithmetic number, because the mean of its divisors is an integer number (168805236600).

Almost surely, 211530055515032 is an apocalyptic number.

11530055515032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530055515032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205302713600).

11530055515032 is an abundant number, since it is smaller than the sum of its proper divisors (20880549912168).

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

11530055515032 is a wasteful number, since it uses less digits than its factorization.

11530055515032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 11530055515032 in words is "eleven trillion, five hundred thirty billion, fifty-five million, five hundred fifteen thousand, thirty-two".