Search a number
-
+
46443823855660 = 225711103313935461
BaseRepresentation
bin10101000111101100010111…
…00111110111100000101100
320002102222121221100110112201
422203312023213313200230
522041413422401340120
6242435555332511244
712532312152064030
oct1243661347674054
9202388557313481
1046443823855660
1113886795862250
12526115a77b524
131cbb8315b591a
14b67c7081a1c0
1555819cb1440a
hex2a3d8b9f782c

46443823855660 has 192 divisors, whose sum is σ = 123171338594304. Its totient is φ = 14289637939200.

The previous prime is 46443823855547. The next prime is 46443823855661. The reversal of 46443823855660 is 6655832834464.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46443823855592 and 46443823855601.

It is not an unprimeable number, because it can be changed into a prime (46443823855661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49180330 + ... + 50115790.

It is an arithmetic number, because the mean of its divisors is an integer number (641517388512).

Almost surely, 246443823855660 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 46443823855660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585669297152).

46443823855660 is an abundant number, since it is smaller than the sum of its proper divisors (76727514738644).

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

46443823855660 is a wasteful number, since it uses less digits than its factorization.

46443823855660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935904 (or 935902 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 64.

The spelling of 46443823855660 in words is "forty-six trillion, four hundred forty-three billion, eight hundred twenty-three million, eight hundred fifty-five thousand, six hundred sixty".