Search a number
-
+
483480930240 = 2633572111731197
BaseRepresentation
bin1110000100100011011…
…01011000011111000000
31201012221121200000121000
413002101231120133000
530410132104231430
61010035202132000
746634052046200
oct7022155303700
91635847600530
10483480930240
11177052420930
1279850951000
1336790993899
1419587374400
15c89a7a8e60
hex7091b587c0

483480930240 has 2688 divisors, whose sum is σ = 2377709199360. Its totient is φ = 91039334400.

The previous prime is 483480930221. The next prime is 483480930263. The reversal of 483480930240 is 42039084384.

483480930240 is a `hidden beast` number, since 4 + 83 + 480 + 93 + 0 + 2 + 4 + 0 = 666.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 2454217822 + ... + 2454218018.

Almost surely, 2483480930240 is an apocalyptic number.

483480930240 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 483480930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188854599680).

483480930240 is an abundant number, since it is smaller than the sum of its proper divisors (1894228269120).

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

483480930240 is a wasteful number, since it uses less digits than its factorization.

483480930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 483480930240 in words is "four hundred eighty-three billion, four hundred eighty million, nine hundred thirty thousand, two hundred forty".