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71933609540 = 22513221439931
BaseRepresentation
bin100001011111110010…
…0111100011001000100
320212200011202222111202
41002333210330121010
52134310001001130
653013522522032
75124403410152
oct1027744743104
9225604688452
1071933609540
1128563713591
1211b36506318
136a24c18100
1436a574c3d2
151d1025c145
hex10bf93c644

71933609540 has 72 divisors (see below), whose sum is σ = 163667282688. Its totient is φ = 26545034880.

The previous prime is 71933609537. The next prime is 71933609581. The reversal of 71933609540 is 4590633917.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7238375 + ... + 7248305.

It is an arithmetic number, because the mean of its divisors is an integer number (2273156704).

Almost surely, 271933609540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71933609540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81833641344).

71933609540 is an abundant number, since it is smaller than the sum of its proper divisors (91733673148).

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

71933609540 is a wasteful number, since it uses less digits than its factorization.

71933609540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 47.

The spelling of 71933609540 in words is "seventy-one billion, nine hundred thirty-three million, six hundred nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2143 3380 4286 8572 9931 10715 19862 21430 27859 39724 42860 49655 55718 99310 111436 129103 139295 198620 258206 278590 362167 516412 557180 645515 724334 1291030 1448668 1678339 1810835 2582060 3356678 3621670 6713356 7243340 8391695 16783390 21282133 33566780 42564266 85128532 106410665 212821330 276667729 425642660 553335458 1106670916 1383338645 2766677290 3596680477 5533354580 7193360954 14386721908 17983402385 35966804770 71933609540