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13997979900 = 22335226919273
BaseRepresentation
bin11010000100101100…
…00011100011111100
31100010112200001112000
431002112003203330
5212131440324100
610233001142300
71003611603012
oct150226034374
940115601460
1013997979900
115a33549533
122867a8a990
131421082558
1496b10c8b2
1556dd84900
hex3425838fc

13997979900 has 144 divisors (see below), whose sum is σ = 45170546400. Its totient is φ = 3718725120.

The previous prime is 13997979899. The next prime is 13997979917. The reversal of 13997979900 is 997979931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716664 + ... + 735936.

It is an arithmetic number, because the mean of its divisors is an integer number (313684350).

Almost surely, 213997979900 is an apocalyptic number.

13997979900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997979900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585273200).

13997979900 is an abundant number, since it is smaller than the sum of its proper divisors (31172566500).

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

13997979900 is a wasteful number, since it uses less digits than its factorization.

13997979900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19565 (or 19552 counting only the distinct ones).

The product of its (nonzero) digits is 8680203, while the sum is 63.

The spelling of 13997979900 in words is "thirteen billion, nine hundred ninety-seven million, nine hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 269 270 300 450 538 540 675 807 900 1076 1345 1350 1614 2421 2690 2700 3228 4035 4842 5380 6725 7263 8070 9684 12105 13450 14526 16140 19273 20175 24210 26900 29052 36315 38546 40350 48420 57819 60525 72630 77092 80700 96365 115638 121050 145260 173457 181575 192730 231276 242100 289095 346914 363150 385460 481825 520371 578190 693828 726300 867285 963650 1040742 1156380 1445475 1734570 1927300 2081484 2601855 2890950 3469140 4336425 5184437 5203710 5781900 8672850 10368874 10407420 13009275 15553311 17345700 20737748 25922185 26018550 31106622 46659933 51844370 52037100 62213244 77766555 93319866 103688740 129610925 139979799 155533110 186639732 233299665 259221850 279959598 311066220 388832775 466599330 518443700 559919196 699898995 777665550 933198660 1166498325 1399797990 1555331100 2332996650 2799595980 3499494975 4665993300 6998989950 13997979900