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132013132632 = 23324739010973
BaseRepresentation
bin111101011110010011…
…0001000101101011000
3110121202012222222102200
41322330212020231120
54130330330221012
6140351311330200
712352260053463
oct1727446105530
9417665888380
10132013132632
1150a93a76507
1221702b20960
13c5aac99584
1465649c22da
15367996c3dc
hex1ebc988b58

132013132632 has 48 divisors (see below), whose sum is σ = 365142716640. Its totient is φ = 43068113088.

The previous prime is 132013132577. The next prime is 132013132633. The reversal of 132013132632 is 236231310231.

132013132632 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 13 + 13 + 2 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132013132596 and 132013132605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013132633) 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 11 ways as a sum of consecutive naturals, for example, 19502103 + ... + 19508870.

It is an arithmetic number, because the mean of its divisors is an integer number (7607139930).

Almost surely, 2132013132632 is an apocalyptic number.

132013132632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132013132632 is an abundant number, since it is smaller than the sum of its proper divisors (233129584008).

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

132013132632 is a wasteful number, since it uses less digits than its factorization.

132013132632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39011032 (or 39011025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132013132632 its reverse (236231310231), we get a palindrome (368244442863).

The spelling of 132013132632 in words is "one hundred thirty-two billion, thirteen million, one hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 39010973 78021946 117032919 156043892 234065838 312087784 351098757 468131676 702197514 936263352 1404395028 1833515731 2808790056 3667031462 5500547193 7334062924 11001094386 14668125848 16501641579 22002188772 33003283158 44004377544 66006566316 132013132632