Search a number
-
+
148991477760 = 211345263683
BaseRepresentation
bin1000101011000010010…
…1011000100000000000
3112020120110202021110000
42022300211120200000
54420113304242020
6152240140240000
713523101444116
oct2126045304000
9466513667400
10148991477760
11582068944a4
1224a60b40000
131108564a238
1472d5865ab6
153d202b8090
hex22b0958800

148991477760 has 480 divisors, whose sum is σ = 536847030720. Its totient is φ = 39522041856.

The previous prime is 148991477749. The next prime is 148991477771. The reversal of 148991477760 is 67774199841.

148991477760 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 91 + 477 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148991477749) and next prime (148991477771).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218142379 + ... + 218143061.

It is an arithmetic number, because the mean of its divisors is an integer number (1118431314).

Almost surely, 2148991477760 is an apocalyptic number.

148991477760 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 148991477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268423515360).

148991477760 is an abundant number, since it is smaller than the sum of its proper divisors (387855552960).

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

148991477760 is an equidigital number, since it uses as much as digits as its factorization.

148991477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 148991477760 in words is "one hundred forty-eight billion, nine hundred ninety-one million, four hundred seventy-seven thousand, seven hundred sixty".