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132711531040 = 25511675631999
BaseRepresentation
bin111101110011000111…
…0010100001000100000
3110200112220011021221101
41323212032110020200
54133243122443130
6140544500404144
712405500254444
oct1734616241040
9420486137841
10132711531040
1151312221580
12218789a6654
13c68c89797a
1465cd660824
1536bae251ca
hex1ee6394220

132711531040 has 192 divisors, whose sum is σ = 347929344000. Its totient is φ = 47430282240.

The previous prime is 132711531023. The next prime is 132711531053. The reversal of 132711531040 is 40135117231.

It is a super-2 number, since 2×1327115310402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66387961 + ... + 66389959.

It is an arithmetic number, because the mean of its divisors is an integer number (1812132000).

Almost surely, 2132711531040 is an apocalyptic number.

132711531040 is a gapful number since it is divisible by the number (10) 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 132711531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173964672000).

132711531040 is an abundant number, since it is smaller than the sum of its proper divisors (215217812960).

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

132711531040 is a wasteful number, since it uses less digits than its factorization.

132711531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 132711531040 its reverse (40135117231), we get a palindrome (172846648271).

The spelling of 132711531040 in words is "one hundred thirty-two billion, seven hundred eleven million, five hundred thirty-one thousand, forty".