Search a number
-
+
13887864528 = 24311312720161
BaseRepresentation
bin11001110111100011…
…11111111011010000
31022211212110121121220
430323301333323100
5211420243131103
610214025045040
71001103620646
oct147361777320
938755417556
1013887864528
11598737919a
122837026780
131404309825
1495a647196
15564382c53
hex33bc7fed0

13887864528 has 80 divisors (see below), whose sum is σ = 36481284096. Its totient is φ = 4551966720.

The previous prime is 13887864521. The next prime is 13887864533. The reversal of 13887864528 is 82546878831.

It is a super-2 number, since 2×138878645282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887864521) 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, 678768 + ... + 698928.

Almost surely, 213887864528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13887864528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240642048).

13887864528 is an abundant number, since it is smaller than the sum of its proper divisors (22593419568).

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

13887864528 is a wasteful number, since it uses less digits than its factorization.

13887864528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412 (or 20406 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The spelling of 13887864528 in words is "thirteen billion, eight hundred eighty-seven million, eight hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 127 226 254 339 381 452 508 678 762 904 1016 1356 1524 1808 2032 2712 3048 5424 6096 14351 20161 28702 40322 43053 57404 60483 80644 86106 114808 120966 161288 172212 229616 241932 322576 344424 483864 688848 967728 2278193 2560447 4556386 5120894 6834579 7681341 9112772 10241788 13669158 15362682 18225544 20483576 27338316 30725364 36451088 40967152 54676632 61450728 109353264 122901456 289330511 578661022 867991533 1157322044 1735983066 2314644088 3471966132 4629288176 6943932264 13887864528