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132053643624 = 23374347388933
BaseRepresentation
bin111101011111100000…
…0101011000101101000
3110121212001020011001210
41322333000223011220
54130421213043444
6140355315513120
712353261310360
oct1727700530550
9417761204053
10132053643624
1151004925a71
12217145b87a0
13c5b64b1886
14656a1299a0
15367d2c07b9
hex1ebf02b168

132053643624 has 128 divisors (see below), whose sum is σ = 394285731840. Its totient is φ = 36067997952.

The previous prime is 132053643559. The next prime is 132053643629. The reversal of 132053643624 is 426346350231.

It is not an unprimeable number, because it can be changed into a prime (132053643629) 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 31 ways as a sum of consecutive naturals, for example, 145062 + ... + 533994.

It is an arithmetic number, because the mean of its divisors is an integer number (3080357280).

Almost surely, 2132053643624 is an apocalyptic number.

132053643624 is a gapful number since it is divisible by the number (14) 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 132053643624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197142865920).

132053643624 is an abundant number, since it is smaller than the sum of its proper divisors (262232088216).

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

132053643624 is a wasteful number, since it uses less digits than its factorization.

132053643624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389039 (or 389035 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 132053643624 its reverse (426346350231), we get a palindrome (558399993855).

The spelling of 132053643624 in words is "one hundred thirty-two billion, fifty-three million, six hundred forty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 47 56 84 86 94 129 141 168 172 188 258 282 301 329 344 376 516 564 602 658 903 987 1032 1128 1204 1316 1806 1974 2021 2408 2632 3612 3948 4042 6063 7224 7896 8084 12126 14147 16168 24252 28294 42441 48504 56588 84882 113176 169764 339528 388933 777866 1166799 1555732 2333598 2722531 3111464 4667196 5445062 8167593 9334392 10890124 16335186 16724119 18279851 21780248 32670372 33448238 36559702 50172357 54839553 65340744 66896476 73119404 100344714 109679106 117068833 127958957 133792952 146238808 200689428 219358212 234137666 255917914 351206499 383876871 401378856 438716424 468275332 511835828 702412998 767753742 786033593 936550664 1023671656 1404825996 1535507484 1572067186 2358100779 2809651992 3071014968 3144134372 4716201558 5502235151 6288268744 9432403116 11004470302 16506705453 18864806232 22008940604 33013410906 44017881208 66026821812 132053643624