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13688206020 = 22325614912539
BaseRepresentation
bin11001011111110000…
…10111001011000100
31022022221202220122100
430233320113023010
5211013140043040
610142133432100
7663130555116
oct145770271304
938287686570
1013688206020
1158946a9865
1227a019b630
1313a1b41ab8
1493bd133b6
15551a94b30
hex32fe172c4

13688206020 has 144 divisors (see below), whose sum is σ = 42304167360. Its totient is φ = 3581625600.

The previous prime is 13688205991. The next prime is 13688206033. The reversal of 13688206020 is 2060288631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5389911 + ... + 5392449.

It is an arithmetic number, because the mean of its divisors is an integer number (293778940).

Almost surely, 213688206020 is an apocalyptic number.

13688206020 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 13688206020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152083680).

13688206020 is an abundant number, since it is smaller than the sum of its proper divisors (28615961340).

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

13688206020 is a wasteful number, since it uses less digits than its factorization.

13688206020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13688206020 in words is "thirteen billion, six hundred eighty-eight million, two hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 491 549 610 732 915 982 1098 1220 1473 1830 1964 2196 2455 2539 2745 2946 3660 4419 4910 5078 5490 5892 7365 7617 8838 9820 10156 10980 12695 14730 15234 17676 22095 22851 25390 29460 29951 30468 38085 44190 45702 50780 59902 76170 88380 89853 91404 114255 119804 149755 152340 154879 179706 228510 269559 299510 309758 359412 449265 457020 464637 539118 599020 619516 774395 898530 929274 1078236 1246649 1347795 1393911 1548790 1797060 1858548 2323185 2493298 2695590 2787822 3097580 3739947 4646370 4986596 5391180 5575644 6233245 6969555 7479894 9292740 11219841 12466490 13939110 14959788 18699735 22439682 24932980 27878220 37399470 44879364 56099205 74798940 76045589 112198410 152091178 224396820 228136767 304182356 380227945 456273534 684410301 760455890 912547068 1140683835 1368820602 1520911780 2281367670 2737641204 3422051505 4562735340 6844103010 13688206020