Search a number
-
+
11730016070136 = 23327213491520889
BaseRepresentation
bin1010101010110001101101…
…1100001110100111111000
31112112101012222200102111200
42222230123130032213320
53014141033103221021
640540410041254200
72320315506326400
oct252543334164770
945471188612450
1011730016070136
1138127432a8341
121395432794360
1367119c391830
142c7a430a9800
151551d09b2126
hexaab1b70e9f8

11730016070136 has 288 divisors, whose sum is σ = 39879400906800. Its totient is φ = 3087324011520.

The previous prime is 11730016070081. The next prime is 11730016070137. The reversal of 11730016070136 is 63107061003711.

It is a happy number.

11730016070136 is a `hidden beast` number, since 1 + 1 + 7 + 30 + 0 + 1 + 607 + 0 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11730016070136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730016070137) 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, 22258780 + ... + 22779668.

Almost surely, 211730016070136 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 11730016070136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939700453400).

11730016070136 is an abundant number, since it is smaller than the sum of its proper divisors (28149384836664).

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

11730016070136 is a wasteful number, since it uses less digits than its factorization.

11730016070136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521419 (or 521405 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 11730016070136 its reverse (63107061003711), we get a palindrome (74837077073847).

The spelling of 11730016070136 in words is "eleven trillion, seven hundred thirty billion, sixteen million, seventy thousand, one hundred thirty-six".