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71993372616 = 23331130300241
BaseRepresentation
bin100001100001100100…
…0111010111111001000
320212211100020021001000
41003003020322333020
52134420300410431
653023455455000
75126030366424
oct1030310727710
9225740207030
1071993372616
1128594422460
1211b52527460
136a34411289
1436ad667b84
151d156149e6
hex10c323afc8

71993372616 has 64 divisors (see below), whose sum is σ = 218161742400. Its totient is φ = 21816172800.

The previous prime is 71993372609. The next prime is 71993372621. The reversal of 71993372616 is 61627339917.

It is a happy number.

71993372616 is a `hidden beast` number, since 7 + 19 + 9 + 3 + 3 + 7 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15147745 + ... + 15152496.

It is an arithmetic number, because the mean of its divisors is an integer number (3408777225).

Almost surely, 271993372616 is an apocalyptic number.

It is an amenable number.

71993372616 is an abundant number, since it is smaller than the sum of its proper divisors (146168369784).

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

71993372616 is a wasteful number, since it uses less digits than its factorization.

71993372616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30300267 (or 30300257 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 71993372616 in words is "seventy-one billion, nine hundred ninety-three million, three hundred seventy-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 30300241 60600482 90900723 121200964 181801446 242401928 272702169 333302651 363602892 545404338 666605302 727205784 818106507 999907953 1090808676 1333210604 1636213014 1999815906 2181617352 2666421208 2999723859 3272426028 3999631812 5999447718 6544852056 7999263624 8999171577 11998895436 17998343154 23997790872 35996686308 71993372616