Search a number
-
+
13552500040 = 2356724120983
BaseRepresentation
bin11001001111100101…
…01011110101001000
31021222111102100000221
430213302223311020
5210223420000130
610120445035424
7656562230632
oct144762536510
937874370027
1013552500040
11582503a962
122762855b74
13137c9a90c1
14927ca9a52
15544bda87a
hex327cabd48

13552500040 has 64 divisors (see below), whose sum is σ = 31078143360. Its totient is φ = 5317678080.

The previous prime is 13552500037. The next prime is 13552500041. The reversal of 13552500040 is 4000525531.

It is a junction number, because it is equal to n+sod(n) for n = 13552499978 and 13552500014.

It is not an unprimeable number, because it can be changed into a prime (13552500041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635389 + ... + 656371.

It is an arithmetic number, because the mean of its divisors is an integer number (485595990).

Almost surely, 213552500040 is an apocalyptic number.

13552500040 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 13552500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539071680).

13552500040 is an abundant number, since it is smaller than the sum of its proper divisors (17525643320).

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

13552500040 is a wasteful number, since it uses less digits than its factorization.

13552500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 13552500040 in words is "thirteen billion, five hundred fifty-two million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 241 268 335 482 536 670 964 1205 1340 1928 2410 2680 4820 9640 16147 20983 32294 41966 64588 80735 83932 104915 129176 161470 167864 209830 322940 419660 645880 839320 1405861 2811722 5056903 5623444 7029305 10113806 11246888 14058610 20227612 25284515 28117220 40455224 50569030 56234440 101138060 202276120 338812501 677625002 1355250004 1694062505 2710500008 3388125010 6776250020 13552500040