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132557144316 = 22373607324917
BaseRepresentation
bin111101101110100000…
…1011000000011111100
3110200011010122122011120
41323131001120003330
54132434112104231
6140521303350540
712401614064412
oct1733501300374
9420133578146
10132557144316
1151243063543
1221835152450
13c6668c118c
1465b6d532b2
1536ac5cad96
hex1edd0580fc

132557144316 has 48 divisors (see below), whose sum is σ = 313601203104. Its totient is φ = 43571506176.

The previous prime is 132557144311. The next prime is 132557144327. The reversal of 132557144316 is 613441755231.

It is a happy number.

It is a super-2 number, since 2×1325571443162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132557144311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307490 + ... + 5332406.

It is an arithmetic number, because the mean of its divisors is an integer number (6533358398).

Almost surely, 2132557144316 is an apocalyptic number.

It is an amenable number.

132557144316 is an abundant number, since it is smaller than the sum of its proper divisors (181044058788).

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

132557144316 is a wasteful number, since it uses less digits than its factorization.

132557144316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31070 (or 31068 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

Adding to 132557144316 its reverse (613441755231), we get a palindrome (745998899547).

The spelling of 132557144316 in words is "one hundred thirty-two billion, five hundred fifty-seven million, one hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 6073 12146 18219 24292 24917 36438 49834 72876 74751 99668 149502 299004 443329 886658 1329987 1773316 1818941 2659974 3637882 5319948 5456823 7275764 10913646 21827292 151320941 302641882 453962823 605283764 907925646 1815851292 11046428693 22092857386 33139286079 44185714772 66278572158 132557144316