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71137722106 = 2113723177451
BaseRepresentation
bin100001001000000100…
…0110111111011111010
320210121201011201012101
41002100020313323322
52131142224101411
652402532134014
75065600442503
oct1022010677372
9223551151171
1071137722106
1128195431580
1211953a6730a
1369290750b9
14362bb73baa
151cb54488c1
hex1090237efa

71137722106 has 48 divisors (see below), whose sum is σ = 120031867872. Its totient is φ = 31357944000.

The previous prime is 71137722101. The next prime is 71137722119. The reversal of 71137722106 is 60122773117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (71137722101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9543681 + ... + 9551131.

It is an arithmetic number, because the mean of its divisors is an integer number (2500663914).

Almost surely, 271137722106 is an apocalyptic number.

71137722106 is a deficient number, since it is larger than the sum of its proper divisors (48894145766).

71137722106 is a wasteful number, since it uses less digits than its factorization.

71137722106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

It can be divided in two parts, 7113772 and 2106, that added together give a triangular number (7115878 = T3772).

The spelling of 71137722106 in words is "seventy-one billion, one hundred thirty-seven million, seven hundred twenty-two thousand, one hundred six".

Divisors: 1 2 11 22 37 74 317 407 634 814 1369 2738 3487 6974 7451 11729 14902 15059 23458 30118 81961 129019 163922 258038 275687 433973 551374 867946 2361967 3032557 4723934 4773703 6065114 9547406 10200419 20400838 25981637 51963274 87392779 112204609 174785558 224409218 961320569 1922641138 3233532823 6467065646 35568861053 71137722106