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4996506240 = 2732511267107
BaseRepresentation
bin1001010011101000…
…01010001010000000
3110220012210211000200
410221310022022000
540213101144430
62143444245200
7234550413405
oct45164121200
913805724020
104996506240
112134441100
12b753a0800
1361820758b
143558322ac
151e39b6460
hex129d0a280

4996506240 has 576 divisors, whose sum is σ = 19427597280. Its totient is φ = 1182044160.

The previous prime is 4996506187. The next prime is 4996506257. The reversal of 4996506240 is 426056994.

4996506240 is a `hidden beast` number, since 499 + 65 + 0 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46696267 + ... + 46696373.

Almost surely, 24996506240 is an apocalyptic number.

4996506240 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 4996506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713798640).

4996506240 is an abundant number, since it is smaller than the sum of its proper divisors (14431091040).

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

4996506240 is a wasteful number, since it uses less digits than its factorization.

4996506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4996506240 is about 70685.9691876684. The cubic root of 4996506240 is about 1709.5775708361.

The spelling of 4996506240 in words is "four billion, nine hundred ninety-six million, five hundred six thousand, two hundred forty".