Search a number
-
+
71349802680 = 233513222120593
BaseRepresentation
bin100001001110011000…
…1111001011010111000
320211011111020112001110
41002130301321122320
52132111022141210
652435545520320
75104054213302
oct1023461713270
9224144215043
1071349802680
1128294115882
12119b2aa30a0
136960c9bc70
14364bdbc972
151cc8d8c420
hex109cc796b8

71349802680 has 128 divisors (see below), whose sum is σ = 230629734720. Its totient is φ = 17554268160.

The previous prime is 71349802603. The next prime is 71349802681. The reversal of 71349802680 is 8620894317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71349802681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3454464 + ... + 3475056.

Almost surely, 271349802680 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 71349802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115314867360).

71349802680 is an abundant number, since it is smaller than the sum of its proper divisors (159279932040).

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

71349802680 is a wasteful number, since it uses less digits than its factorization.

71349802680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22841 (or 22837 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 71349802680 in words is "seventy-one billion, three hundred forty-nine million, eight hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2221 4442 6663 8884 11105 13326 17768 20593 22210 26652 28873 33315 41186 44420 53304 57746 61779 66630 82372 86619 88840 102965 115492 123558 133260 144365 164744 173238 205930 230984 247116 266520 267709 288730 308895 346476 411860 433095 494232 535418 577460 617790 692952 803127 823720 866190 1070836 1154920 1235580 1338545 1606254 1732380 2141672 2471160 2677090 3212508 3464760 4015635 5354180 6425016 8031270 10708360 16062540 32125080 45737053 91474106 137211159 182948212 228685265 274422318 365896424 457370530 548844636 594581689 686055795 914741060 1097689272 1189163378 1372111590 1783745067 1829482120 2378326756 2744223180 2972908445 3567490134 4756653512 5488446360 5945816890 7134980268 8918725335 11891633780 14269960536 17837450670 23783267560 35674901340 71349802680