Search a number
-
+
13985111536 = 2411436727581
BaseRepresentation
bin11010000011001001…
…11101110111110000
31100002122110021102221
431001210331313300
5212120142032121
610231421250424
71003364325634
oct150144756760
940078407387
1013985111536
115a2725a320
122863703a14
13141b4c8236
1496951cdc4
1556cb91b41
hex34193ddf0

13985111536 has 80 divisors (see below), whose sum is σ = 30699427968. Its totient is φ = 6116140800.

The previous prime is 13985111533. The next prime is 13985111573. The reversal of 13985111536 is 63511158931.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 13985111492 and 13985111501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985111533) 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, 493266 + ... + 520846.

Almost surely, 213985111536 is an apocalyptic number.

13985111536 is a gapful number since it is divisible by the number (16) 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 13985111536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349713984).

13985111536 is an abundant number, since it is smaller than the sum of its proper divisors (16714316432).

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

13985111536 is a wasteful number, since it uses less digits than its factorization.

13985111536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27704 counting only the distinct ones).

The product of its digits is 97200, while the sum is 43.

It can be divided in two parts, 13985 and 111536, that added together give a palindrome (125521).

The spelling of 13985111536 in words is "thirteen billion, nine hundred eighty-five million, one hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 43 44 67 86 88 134 172 176 268 344 473 536 688 737 946 1072 1474 1892 2881 2948 3784 5762 5896 7568 11524 11792 23048 27581 31691 46096 55162 63382 110324 126764 220648 253528 303391 441296 507056 606782 1185983 1213564 1847927 2371966 2427128 3695854 4743932 4854256 7391708 9487864 13045813 14783416 18975728 20327197 26091626 29566832 40654394 52183252 79460861 81308788 104366504 158921722 162617576 208733008 317843444 325235152 635686888 874069471 1271373776 1748138942 3496277884 6992555768 13985111536