Search a number
-
+
3838705701325 = 52111719411054061
BaseRepresentation
bin110111110111000100101…
…100001001000111001101
3111120222101000000100221021
4313313010230021013031
51000343132124420300
612055251013234141
7544223464043305
oct67670454110715
914528330010837
103838705701325
11124aa93325790
1251bb72932951
1321acb066bc11
14d3b19990605
1569cc0aa6d1a
hex37dc4b091cd

3838705701325 has 96 divisors (see below), whose sum is σ = 5928719287680. Its totient is φ = 2428554240000.

The previous prime is 3838705701307. The next prime is 3838705701353. The reversal of 3838705701325 is 5231075078383.

It is not a de Polignac number, because 3838705701325 - 211 = 3838705699277 is a prime.

It is a super-2 number, since 2×38387057013252 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114795 + ... + 4168855.

It is an arithmetic number, because the mean of its divisors is an integer number (61757492580).

Almost surely, 23838705701325 is an apocalyptic number.

It is an amenable number.

3838705701325 is a deficient number, since it is larger than the sum of its proper divisors (2090013586355).

3838705701325 is a wasteful number, since it uses less digits than its factorization.

3838705701325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054159 (or 1054154 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 3838705701325 in words is "three trillion, eight hundred thirty-eight billion, seven hundred five million, seven hundred one thousand, three hundred twenty-five".

Divisors: 1 5 11 17 19 25 41 55 85 95 187 205 209 275 323 425 451 475 697 779 935 1025 1045 1615 2255 3485 3553 3895 4675 5225 7667 8075 8569 11275 13243 17425 17765 19475 38335 42845 66215 88825 145673 191675 214225 331075 728365 1054061 3641825 5270305 11594671 17919037 20027159 26351525 43216501 57973355 89595185 100135795 197109407 216082505 220298749 289866775 340461703 447975925 475381511 500678975 734680517 821113519 985547035 1080412525 1101493745 1702308515 2376907555 3673402585 3745078733 4105567595 4927735175 5507468725 8081485687 8511542575 9032248709 11884537775 13958929823 18367012925 18725393665 20527837975 40407428435 45161243545 69794649115 93626968325 153548228053 202037142175 225806217725 348973245575 767741140265 3838705701325