Search a number
-
+
11532632610132 = 223454293655601
BaseRepresentation
bin1010011111010010011001…
…1110000101010101010100
31111211111201222212202010000
42213310212132011111110
53002422312422011012
640310003540531300
72300130246522024
oct247644636052524
944744658782100
1011532632610132
113746a644a9397
1213631273b0b30
136586a4186b9a
142bc27a6d3a84
1514eecc0d8ddc
hexa7d26785554

11532632610132 has 60 divisors (see below), whose sum is σ = 30149180974836. Its totient is φ = 3844134201600.

The previous prime is 11532632610113. The next prime is 11532632610199. The reversal of 11532632610132 is 23101623623511.

11532632610132 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 2 + 6 + 3 + 2 + 610 + 1 + 32 = 666.

11532632610132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7452539644356 + 4080092965776 = 2729934^2 + 2019924^2 .

It is a super-4 number, since 4×115326326101324 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 19 ways as a sum of consecutive naturals, for example, 17263132 + ... + 17918732.

Almost surely, 211532632610132 is an apocalyptic number.

11532632610132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11532632610132 is an abundant number, since it is smaller than the sum of its proper divisors (18616548364704).

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

11532632610132 is a wasteful number, since it uses less digits than its factorization.

11532632610132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709910 (or 709899 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11532632610132 in words is "eleven trillion, five hundred thirty-two billion, six hundred thirty-two million, six hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 54293 108586 162879 217172 325758 488637 651516 655601 977274 1311202 1465911 1954548 1966803 2622404 2931822 3933606 4397733 5863644 5900409 7867212 8795466 11800818 17590932 17701227 23601636 35402454 53103681 70804908 106207362 212414724 35594545093 71189090186 106783635279 142378180372 213567270558 320350905837 427134541116 640701811674 961052717511 1281403623348 1922105435022 2883158152533 3844210870044 5766316305066 11532632610132