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71234837424 = 24331918231049
BaseRepresentation
bin100001001010111101…
…1010101101110110000
320210212110220200101000
41002111323111232300
52131342104244144
652420321442000
75101160061522
oct1022573255660
9223773820330
1071234837424
1128235232773
12119804a0300
13694321889a
14363aa13a12
151cbdc2d769
hex1095ed5bb0

71234837424 has 160 divisors (see below), whose sum is σ = 205986816000. Its totient is φ = 23569436160.

The previous prime is 71234837423. The next prime is 71234837441. The reversal of 71234837424 is 42473843217.

71234837424 is a `hidden beast` number, since 7 + 123 + 483 + 7 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71234837424.

It is not an unprimeable number, because it can be changed into a prime (71234837423) 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, 67906852 + ... + 67907900.

It is an arithmetic number, because the mean of its divisors is an integer number (1287417600).

Almost surely, 271234837424 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 71234837424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102993408000).

71234837424 is an abundant number, since it is smaller than the sum of its proper divisors (134751978576).

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

71234837424 is a wasteful number, since it uses less digits than its factorization.

71234837424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 71234837424 in words is "seventy-one billion, two hundred thirty-four million, eight hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 573 764 823 1049 1146 1528 1646 1719 2098 2292 2469 3056 3147 3292 3438 4196 4584 4938 5157 6294 6584 6876 7407 8392 9168 9441 9876 10314 12588 13168 13752 14814 16784 18882 19752 20628 22221 25176 27504 28323 29628 37764 39504 41256 44442 50352 56646 59256 75528 82512 88884 113292 118512 151056 157193 177768 200359 226584 314386 355536 400718 453168 471579 601077 628772 801436 863327 943158 1202154 1257544 1414737 1602872 1726654 1803231 1886316 2404308 2515088 2589981 2829474 3205744 3453308 3606462 3772632 4244211 4808616 5179962 5409693 5658948 6906616 7212924 7545264 7769943 8488422 9617232 10359924 10819386 11317896 13813232 14425848 15539886 16976844 20719848 21638772 22635792 23309829 28851696 31079772 33953688 41439696 43277544 46619658 62159544 67907376 86555088 93239316 124319088 164895457 186478632 329790914 372957264 494686371 659581828 989372742 1319163656 1484059113 1978745484 2638327312 2968118226 3957490968 4452177339 5936236452 7914981936 8904354678 11872472904 17808709356 23744945808 35617418712 71234837424