Search a number
-
+
11837790461952 = 213337213223281
BaseRepresentation
bin1010110001000011001101…
…0010111010000000000000
31112220200101222012210102000
42230100303102322000000
53022422243324240302
641102112244424000
72331152324463300
oct254206322720000
945820358183360
1011837790461952
113854419118044
1213b22b00a8000
1367b3b6762100
142ccd48867600
15157ddc4d031c
hexac4334ba000

11837790461952 has 2016 divisors, whose sum is σ = 46263631282560. Its totient is φ = 2975685672960.

The previous prime is 11837790461951. The next prime is 11837790461957. The reversal of 11837790461952 is 25916409773811.

11837790461952 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 7 + 7 + 9 + 0 + 4 + 619 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11837790461952.

It is not an unprimeable number, because it can be changed into a prime (11837790461951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42127368052 + ... + 42127368332.

It is a 1-persistent number, because it is pandigital, but 2⋅11837790461952 = 23675580923904 is not.

Almost surely, 211837790461952 is an apocalyptic number.

11837790461952 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 11837790461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131815641280).

11837790461952 is an abundant number, since it is smaller than the sum of its proper divisors (34425840820608).

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

11837790461952 is a wasteful number, since it uses less digits than its factorization.

11837790461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 11837790461952 in words is "eleven trillion, eight hundred thirty-seven billion, seven hundred ninety million, four hundred sixty-one thousand, nine hundred fifty-two".