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13970667900 = 2235278380153
BaseRepresentation
bin11010000001011011…
…10111100101111100
31100001122021110111110
431000231313211330
5212102442333100
610230143522020
71003130501130
oct150055674574
940048243443
1013970667900
115a1a094632
12285a8b9310
13141850bbc7
1496763d3c0
1556b78c250
hex340b7797c

13970667900 has 144 divisors (see below), whose sum is σ = 46753507584. Its totient is φ = 3154782720.

The previous prime is 13970667869. The next prime is 13970667911. The reversal of 13970667900 is 976607931.

It is a self number, because there is not a number n which added to its sum of digits gives 13970667900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134224 + ... + 214376.

It is an arithmetic number, because the mean of its divisors is an integer number (324677136).

Almost surely, 213970667900 is an apocalyptic number.

13970667900 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 13970667900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376753792).

13970667900 is an abundant number, since it is smaller than the sum of its proper divisors (32782839684).

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

13970667900 is a wasteful number, since it uses less digits than its factorization.

13970667900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80260 (or 80253 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 13970667900 in words is "thirteen billion, nine hundred seventy million, six hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 83 84 100 105 140 150 166 175 210 249 300 332 350 415 420 498 525 581 700 830 996 1050 1162 1245 1660 1743 2075 2100 2324 2490 2905 3486 4150 4980 5810 6225 6972 8300 8715 11620 12450 14525 17430 24900 29050 34860 43575 58100 80153 87150 160306 174300 240459 320612 400765 480918 561071 801530 961836 1122142 1202295 1603060 1683213 2003825 2244284 2404590 2805355 3366426 4007650 4809180 5610710 6011475 6652699 6732852 8015300 8416065 11221420 12022950 13305398 14026775 16832130 19958097 24045900 26610796 28053550 33263495 33664260 39916194 42080325 46568893 56107100 66526990 79832388 84160650 93137786 99790485 133053980 139706679 166317475 168321300 186275572 199580970 232844465 279413358 332634950 399161940 465688930 498952425 558826716 665269900 698533395 931377860 997904850 1164222325 1397066790 1995809700 2328444650 2794133580 3492666975 4656889300 6985333950 13970667900