Search a number
-
+
13784348339496 = 23327151197919417
BaseRepresentation
bin1100100010010110101100…
…1011111010110100101000
31210210202210221021112102100
43020211223023322310220
53301320321133330441
645152235303333400
72621613000443220
oct310455313726450
953722727245370
1013784348339496
114434a0030a279
1216675ba451260
1378cb210a2cc7
143592477b3080
1518d86883ecb6
hexc896b2fad28

13784348339496 has 192 divisors, whose sum is σ = 43166454439680. Its totient is φ = 3892439577600.

The previous prime is 13784348339453. The next prime is 13784348339497. The reversal of 13784348339496 is 69493384348731.

13784348339496 is a `hidden beast` number, since 1 + 3 + 7 + 84 + 348 + 33 + 94 + 96 = 666.

13784348339496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137843483394962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13784348339497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14532780 + ... + 15452196.

It is an arithmetic number, because the mean of its divisors is an integer number (224825283540).

Almost surely, 213784348339496 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 13784348339496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583227219840).

13784348339496 is an abundant number, since it is smaller than the sum of its proper divisors (29382106100184).

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

13784348339496 is a wasteful number, since it uses less digits than its factorization.

13784348339496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919784 (or 919777 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 13784348339496 in words is "thirteen trillion, seven hundred eighty-four billion, three hundred forty-eight million, three hundred thirty-nine thousand, four hundred ninety-six".