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132242417620 = 22541478341341
BaseRepresentation
bin111101100101001000…
…0110010011111010100
3110122100012102212022021
41323022100302133110
54131313024330440
6140430141542524
712361043001025
oct1731220623724
9418305385267
10132242417620
11510a1440735
1221767874a44
13c616638271
146587228c4c
15368eb5d84a
hex1eca4327d4

132242417620 has 96 divisors (see below), whose sum is σ = 294042825216. Its totient is φ = 49899033600.

The previous prime is 132242417603. The next prime is 132242417627. The reversal of 132242417620 is 26714242231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242417627) 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, 3178150 + ... + 3219490.

It is an arithmetic number, because the mean of its divisors is an integer number (3062946096).

Almost surely, 2132242417620 is an apocalyptic number.

132242417620 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 132242417620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147021412608).

132242417620 is an abundant number, since it is smaller than the sum of its proper divisors (161800407596).

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

132242417620 is a wasteful number, since it uses less digits than its factorization.

132242417620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41521 (or 41519 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 132242417620 its reverse (26714242231), we get a palindrome (158956659851).

The spelling of 132242417620 in words is "one hundred thirty-two billion, two hundred forty-two million, four hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 47 82 83 94 164 166 188 205 235 332 410 415 470 820 830 940 1660 1927 3403 3854 3901 6806 7708 7802 9635 13612 15604 17015 19270 19505 34030 38540 39010 41341 68060 78020 82682 159941 165364 206705 319882 413410 639764 799705 826820 1599410 1694981 1943027 3198820 3389962 3431303 3886054 6779924 6862606 7772108 8474905 9715135 13725212 16949810 17156515 19430270 33899620 34313030 38860540 68626060 79664107 140683423 159328214 161271241 281366846 318656428 322542482 398320535 562733692 645084964 703417115 796641070 806356205 1406834230 1593282140 1612712410 2813668460 3225424820 6612120881 13224241762 26448483524 33060604405 66121208810 132242417620