Search a number
-
+
13185748944 = 243464315823
BaseRepresentation
bin11000100011110111…
…01000111111010000
31021000221022110010000
430101323220333100
5204001022431234
610020224210000
7644520005514
oct142173507720
937027273100
1013185748944
115657014385
12267ba69900
131321a09514
148d12bc144
155228e3899
hex311ee8fd0

13185748944 has 100 divisors (see below), whose sum is σ = 38225150656. Its totient is φ = 4388136768.

The previous prime is 13185748943. The next prime is 13185748973. The reversal of 13185748944 is 44984758131.

13185748944 is a `hidden beast` number, since 13 + 18 + 574 + 8 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185748943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 825417 + ... + 841239.

Almost surely, 213185748944 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 13185748944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112575328).

13185748944 is an abundant number, since it is smaller than the sum of its proper divisors (25039401712).

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

13185748944 is a wasteful number, since it uses less digits than its factorization.

13185748944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16471 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

It can be divided in two parts, 13185 and 748944, that added together give a square (762129 = 8732).

The spelling of 13185748944 in words is "thirteen billion, one hundred eighty-five million, seven hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 643 648 1286 1296 1929 2572 3858 5144 5787 7716 10288 11574 15432 15823 17361 23148 30864 31646 34722 46296 47469 52083 63292 69444 92592 94938 104166 126584 138888 142407 189876 208332 253168 277776 284814 379752 416664 427221 569628 759504 833328 854442 1139256 1281663 1708884 2278512 2563326 3417768 5126652 6835536 10174189 10253304 20348378 20506608 30522567 40696756 61045134 81393512 91567701 122090268 162787024 183135402 244180536 274703103 366270804 488361072 549406206 732541608 824109309 1098812412 1465083216 1648218618 2197624824 3296437236 4395249648 6592874472 13185748944