Search a number
-
+
4982032340640 = 2533517372776619
BaseRepresentation
bin100100001111111100001…
…0001001001011010100000
3122122021111101210110102000
41020133320101021122200
51123111200234400030
614332414123124000
71022640256114455
oct110377021113240
918567441713360
104982032340640
111650960414103
12685674673600
132a1a5a778174
141331bb37782c
15898da105860
hex487f84496a0

4982032340640 has 768 divisors, whose sum is σ = 19033150348800. Its totient is φ = 1212022849536.

The previous prime is 4982032340627. The next prime is 4982032340651. The reversal of 4982032340640 is 460432302894.

4982032340640 is a `hidden beast` number, since 49 + 8 + 203 + 2 + 340 + 64 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 752683251 + ... + 752689869.

It is an arithmetic number, because the mean of its divisors is an integer number (24782747850).

Almost surely, 24982032340640 is an apocalyptic number.

4982032340640 is a gapful number since it is divisible by the number (40) 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 4982032340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516575174400).

4982032340640 is an abundant number, since it is smaller than the sum of its proper divisors (14051118008160).

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

4982032340640 is a wasteful number, since it uses less digits than its factorization.

4982032340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4982032340640 in words is "four trillion, nine hundred eighty-two billion, thirty-two million, three hundred forty thousand, six hundred forty".