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132361143361020 = 223257105048526477
BaseRepresentation
bin11110000110000110111010…
…111011101001110111111100
3122100122121020122210201200200
4132012012322323221313330
5114322101110200023040
61145301511514323500
736610530344140020
oct3606067273516774
9570577218721620
10132361143361020
11391a1055863432
1212a18587129590
1358b17aa228602
14249845642c380
15104803ca36630
hex7861baee9dfc

132361143361020 has 72 divisors (see below), whose sum is σ = 458851963655904. Its totient is φ = 30253975625088.

The previous prime is 132361143361009. The next prime is 132361143361063. The reversal of 132361143361020 is 20163341163231.

132361143361020 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 6 + 1 + 1 + 4 + 33 + 610 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52524261979 + ... + 52524264498.

Almost surely, 2132361143361020 is an apocalyptic number.

132361143361020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132361143361020 is an abundant number, since it is smaller than the sum of its proper divisors (326490820294884).

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

132361143361020 is a wasteful number, since it uses less digits than its factorization.

132361143361020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105048526499 (or 105048526494 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 132361143361020 in words is "one hundred thirty-two trillion, three hundred sixty-one billion, one hundred forty-three million, three hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 105048526477 210097052954 315145579431 420194105908 525242632385 630291158862 735339685339 945436738293 1050485264770 1260582317724 1470679370678 1575727897155 1890873476586 2100970529540 2206019056017 2941358741356 3151455794310 3676698426695 3781746953172 4412038112034 4727183691465 6302911588620 6618057168051 7353396853390 8824076224068 9454367382930 11030095280085 13236114336102 14706793706780 18908734765860 22060190560170 26472228672204 33090285840255 44120381120340 66180571680510 132361143361020