Search a number
-
+
136066980798720 = 283653111341627
BaseRepresentation
bin11110111100000010010000…
…000011100110000100000000
3122211202212122211201222000000
4132330002100003212010000
5120313310134041024340
61201220150312000000
740442341425465336
oct3674022003460400
9584685584658000
10136066980798720
113a39a756447084
1213316838690000
135ac00a46b439a
1425859699ddb56
1510ae633a58d30
hex7bc0900e6100

136066980798720 has 1008 divisors, whose sum is σ = 508900277878272. Its totient is φ = 34802479595520.

The previous prime is 136066980798719. The next prime is 136066980798733. The reversal of 136066980798720 is 27897089660631.

136066980798720 is a `hidden beast` number, since 1 + 3 + 606 + 6 + 9 + 8 + 0 + 7 + 9 + 8 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3268698547 + ... + 3268740173.

It is an arithmetic number, because the mean of its divisors is an integer number (504861386784).

Almost surely, 2136066980798720 is an apocalyptic number.

136066980798720 is a gapful number since it is divisible by the number (10) 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 136066980798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254450138939136).

136066980798720 is an abundant number, since it is smaller than the sum of its proper divisors (372833297079552).

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

136066980798720 is an equidigital number, since it uses as much as digits as its factorization.

136066980798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41810 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 136066980798720 in words is "one hundred thirty-six trillion, sixty-six billion, nine hundred eighty million, seven hundred ninety-eight thousand, seven hundred twenty".