Search a number
-
+
18054003672 = 233217113130531
BaseRepresentation
bin10000110100000110…
…100011101111011000
31201121012210102010200
4100310012203233120
5243433311104142
612143251542200
71206252333135
oct206406435730
951535712120
1018054003672
1177250181a1
1235ba2ba960
13191948b113
14c33a8758c
15709ec464c
hex4341a3bd8

18054003672 has 96 divisors (see below), whose sum is σ = 52231074480. Its totient is φ = 5613834240.

The previous prime is 18054003631. The next prime is 18054003677. The reversal of 18054003672 is 27630045081.

18054003672 is a `hidden beast` number, since 1 + 80 + 540 + 0 + 36 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18054003677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73047 + ... + 203577.

Almost surely, 218054003672 is an apocalyptic number.

18054003672 is a gapful number since it is divisible by the number (12) 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 18054003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115537240).

18054003672 is an abundant number, since it is smaller than the sum of its proper divisors (34177070808).

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

18054003672 is a wasteful number, since it uses less digits than its factorization.

18054003672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130673 (or 130666 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18054003672 in words is "eighteen billion, fifty-four million, three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 113 136 153 204 226 306 339 408 452 612 678 904 1017 1224 1356 1921 2034 2712 3842 4068 5763 7684 8136 11526 15368 17289 23052 34578 46104 69156 130531 138312 261062 391593 522124 783186 1044248 1174779 1566372 2219027 2349558 3132744 4438054 4699116 6657081 8876108 9398232 13314162 14750003 17752216 19971243 26628324 29500006 39942486 44250009 53256648 59000012 79884972 88500018 118000024 132750027 159769944 177000036 250750051 265500054 354000072 501500102 531000108 752250153 1003000204 1062000216 1504500306 2006000408 2256750459 3009000612 4513500918 6018001224 9027001836 18054003672