Search a number
-
+
13726611161946 = 2331374152144687
BaseRepresentation
bin1100011110111111100111…
…0010000100001101011010
31210121020210010121000112000
43013233321302010031122
53244344044424140241
645105530151301430
72614500135515424
oct307577162041532
953536703530460
1013726611161946
114412472170211
12165838637a876
1378754c3a2017
1435652b671814
1518c0d9ab7eb6
hexc7bf9c8435a

13726611161946 has 64 divisors (see below), whose sum is σ = 30727661852160. Its totient is φ = 4541927938560.

The previous prime is 13726611161927. The next prime is 13726611161947. The reversal of 13726611161946 is 64916111662731.

13726611161946 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 6 + 6 + 1 + 11 + 619 + 4 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13726611161892 and 13726611161901.

It is not an unprimeable number, because it can be changed into a prime (13726611161947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307150015 + ... + 307194701.

It is an arithmetic number, because the mean of its divisors is an integer number (480119716440).

Almost surely, 213726611161946 is an apocalyptic number.

13726611161946 is an abundant number, since it is smaller than the sum of its proper divisors (17001050690214).

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

13726611161946 is a wasteful number, since it uses less digits than its factorization.

13726611161946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86356 (or 86350 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 13726611161946 in words is "thirteen trillion, seven hundred twenty-six billion, six hundred eleven million, one hundred sixty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 822 1233 2466 3699 7398 41521 44687 83042 89374 124563 134061 249126 268122 373689 402183 747378 804366 1121067 1206549 2242134 2413098 5688377 6122119 11376754 12244238 17065131 18366357 34130262 36732714 51195393 55099071 102390786 110198142 153586179 165297213 307172358 330594426 1855448927 3710897854 5566346781 11132693562 16699040343 33398080686 50097121029 100194242058 254196502999 508393005998 762589508997 1525179017994 2287768526991 4575537053982 6863305580973 13726611161946