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71611112364 = 223111996414253
BaseRepresentation
bin100001010110001011…
…0101101101110101100
320211211200221102112220
41002230112231232230
52133124421043424
652521522355340
75113406261151
oct1025426555654
9224750842486
1071611112364
11284086736a0
1211a664bbb50
1369a317138c
1436749a0228
151ce1ca7579
hex10ac5adbac

71611112364 has 96 divisors (see below), whose sum is σ = 183527769600. Its totient is φ = 21552537600.

The previous prime is 71611112357. The next prime is 71611112371. The reversal of 71611112364 is 46321111617.

It is an interprime number because it is at equal distance from previous prime (71611112357) and next prime (71611112371).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 16835662 + ... + 16839914.

It is an arithmetic number, because the mean of its divisors is an integer number (1911747600).

Almost surely, 271611112364 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 71611112364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91763884800).

71611112364 is an abundant number, since it is smaller than the sum of its proper divisors (111916657236).

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

71611112364 is a wasteful number, since it uses less digits than its factorization.

71611112364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5109 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The spelling of 71611112364 in words is "seventy-one billion, six hundred eleven million, one hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 597 641 796 1194 1282 1923 2189 2388 2564 3846 4253 4378 6567 7051 7692 8506 8756 12759 13134 14102 17012 21153 25518 26268 28204 42306 46783 51036 84612 93566 127559 140349 187132 255118 280698 382677 510236 561396 765354 846347 1403149 1530708 1692694 2539041 2726173 2806298 3385388 4209447 5078082 5452346 5612596 8178519 8418894 9309817 10156164 10904692 16357038 16837788 18619634 27929451 29987903 32714076 37239268 55858902 59975806 89963709 111717804 119951612 179927418 359854836 542508427 1085016854 1627525281 2170033708 3255050562 5967592697 6510101124 11935185394 17902778091 23870370788 35805556182 71611112364