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71334000224 = 2537411469471
BaseRepresentation
bin100001001101111010…
…1100111011001100000
320211010101111200011022
41002123311213121200
52132043001001344
652434223105012
75103502666064
oct1023365473140
9224111450138
1071334000224
11282862021a3
12119a9742168
13695a9282b6
143649c67aa4
151cc77ba0ee
hex109bd67660

71334000224 has 48 divisors (see below), whose sum is σ = 147752470656. Its totient is φ = 33856588800.

The previous prime is 71334000223. The next prime is 71334000251. The reversal of 71334000224 is 42200043317.

It is a junction number, because it is equal to n+sod(n) for n = 71334000193 and 71334000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71334000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686192 + ... + 783279.

It is an arithmetic number, because the mean of its divisors is an integer number (3078176472).

Almost surely, 271334000224 is an apocalyptic number.

71334000224 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

71334000224 is an abundant number, since it is smaller than the sum of its proper divisors (76418470432).

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

71334000224 is a wasteful number, since it uses less digits than its factorization.

71334000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469559 (or 1469551 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 71334000224 in words is "seventy-one billion, three hundred thirty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1312 1517 3034 6068 12136 24272 48544 1469471 2938942 5877884 11755768 23511536 47023072 54370427 60248311 108740854 120496622 217481708 240993244 434963416 481986488 869926832 963972976 1739853664 1927945952 2229187507 4458375014 8916750028 17833500056 35667000112 71334000224