Search a number
-
+
38211918480 = 2434523833089
BaseRepresentation
bin100011100101100110…
…111001101010010000
310122122001110120210000
4203211212321222100
51111224222342410
625315422010000
72521632643101
oct434546715220
9118561416700
1038211918480
11152296a4a1a
1274a5116900
1337ac7a6368
141bc6d183a8
15ed9a34dc0
hex8e59b9a90

38211918480 has 400 divisors, whose sum is σ = 140199776640. Its totient is φ = 9626259456.

The previous prime is 38211918467. The next prime is 38211918497. The reversal of 38211918480 is 8481911283.

38211918480 is a `hidden beast` number, since 3 + 82 + 1 + 1 + 91 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12368776 + ... + 12371864.

Almost surely, 238211918480 is an apocalyptic number.

38211918480 is a gapful number since it is divisible by the number (30) 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 38211918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70099888320).

38211918480 is an abundant number, since it is smaller than the sum of its proper divisors (101987858160).

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

38211918480 is a wasteful number, since it uses less digits than its factorization.

38211918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 38211918480 in words is "thirty-eight billion, two hundred eleven million, nine hundred eighteen thousand, four hundred eighty".