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13930021588 = 22729531731871
BaseRepresentation
bin11001111100100101…
…10100001011010100
31022221210210102020111
430332102310023110
5212012041142323
610222132412404
71002125141560
oct147622641324
938853712214
1013930021588
1159a915243a
122849177104
13140cc7a132
1496209c6a0
15567e0dc0d
hex33e4b42d4

13930021588 has 96 divisors (see below), whose sum is σ = 29550044160. Its totient is φ = 5619694080.

The previous prime is 13930021579. The next prime is 13930021591. The reversal of 13930021588 is 88512003931.

13930021588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13930021588.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7444293 + ... + 7446163.

It is an arithmetic number, because the mean of its divisors is an integer number (307812960).

Almost surely, 213930021588 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 13930021588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775022080).

13930021588 is an abundant number, since it is smaller than the sum of its proper divisors (15620022572).

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

13930021588 is a wasteful number, since it uses less digits than its factorization.

13930021588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 13930021588 in words is "thirteen billion, nine hundred thirty million, twenty-one thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 173 203 212 346 371 406 692 742 812 1211 1484 1537 1871 2422 3074 3742 4844 5017 6148 7484 9169 10034 10759 13097 18338 20068 21518 26194 35119 36676 43036 52388 54259 64183 70238 99163 108518 128366 140476 198326 217036 256732 265901 323683 379813 396652 531802 647366 694141 759626 1063604 1294732 1388282 1519252 1861307 2265781 2776564 2875727 3722614 4531562 5751454 7445228 9063124 9386807 11502908 17155199 18773614 20130089 34310398 37547228 40260178 65707649 68620796 80520356 120086393 131415298 240172786 262830596 480345572 497500771 995001542 1990003084 3482505397 6965010794 13930021588