Search a number
-
+
13870733744052 = 223217192921418399
BaseRepresentation
bin1100100111011000100000…
…1010000101011110110100
31211010000210021122202202100
43021312020022011132310
53304224230314302202
645300043242342100
72631061466325513
oct311661012053664
954100707582670
1013870733744052
1144685aa6532a9
1216802a87ba930
1379800a0a49c3
1435d4c060267a
15190c226c541c
hexc9d882857b4

13870733744052 has 216 divisors, whose sum is σ = 40472568864000. Its totient is φ = 3980410592256.

The previous prime is 13870733744039. The next prime is 13870733744053. The reversal of 13870733744052 is 25044733707831.

13870733744052 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 73 + 3 + 7 + 440 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13870733744052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13870733744053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9069949 + ... + 10488347.

It is an arithmetic number, because the mean of its divisors is an integer number (187373004000).

Almost surely, 213870733744052 is an apocalyptic number.

13870733744052 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 13870733744052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236284432000).

13870733744052 is an abundant number, since it is smaller than the sum of its proper divisors (26601835119948).

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

13870733744052 is a wasteful number, since it uses less digits than its factorization.

13870733744052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418503 (or 1418469 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 13870733744052 in words is "thirteen trillion, eight hundred seventy billion, seven hundred thirty-three million, seven hundred forty-four thousand, fifty-two".