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71438937760 = 25510314812927
BaseRepresentation
bin100001010001000010…
…1111010111010100000
320211101200222001101201
41002202011322322200
52132301332002020
652452452210544
75106215644321
oct1024205727240
9224350861351
1071438937760
112832a466333
1211a18909a54
1369765aa308
143659b82448
151cd1ae7a0a
hex10a217aea0

71438937760 has 96 divisors (see below), whose sum is σ = 170586404352. Its totient is φ = 28269373440.

The previous prime is 71438937743. The next prime is 71438937781. The reversal of 71438937760 is 6773983417.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24405417 + ... + 24408343.

It is an arithmetic number, because the mean of its divisors is an integer number (1776941712).

Almost surely, 271438937760 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 71438937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85293202176).

71438937760 is an abundant number, since it is smaller than the sum of its proper divisors (99147466592).

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

71438937760 is a wasteful number, since it uses less digits than its factorization.

71438937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 71438937760 in words is "seventy-one billion, four hundred thirty-eight million, nine hundred thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1481 1648 2060 2927 2962 3296 4120 5854 5924 7405 8240 11708 11848 14635 14810 16480 23416 23696 29270 29620 46832 47392 58540 59240 93664 117080 118480 152543 234160 236960 301481 305086 468320 602962 610172 762715 1205924 1220344 1507405 1525430 2411848 2440688 3014810 3050860 4334887 4823696 4881376 6029620 6101720 8669774 9647392 12059240 12203440 17339548 21674435 24118480 24406880 34679096 43348870 48236960 69358192 86697740 138716384 173395480 346790960 446493361 693581920 892986722 1785973444 2232466805 3571946888 4464933610 7143893776 8929867220 14287787552 17859734440 35719468880 71438937760