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2424932959488 = 283131725156921
BaseRepresentation
bin100011010010011001010…
…001001000010100000000
322120211011202011210110220
4203102121101020110000
5304212230314200423
65053555425023040
7340124046031044
oct43223121102400
98524152153426
102424932959488
1185545448a726
12331b75184a80
13147893565480
1485520148024
15431287549e3
hex23499448500

2424932959488 has 288 divisors, whose sum is σ = 7388599462272. Its totient is φ = 699432960000.

The previous prime is 2424932959433. The next prime is 2424932959531. The reversal of 2424932959488 is 8849592394242.

It is a super-2 number, since 2×24249329594882 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42573268 + ... + 42630188.

It is an arithmetic number, because the mean of its divisors is an integer number (25654859244).

Almost surely, 22424932959488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424932959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694299731136).

2424932959488 is an abundant number, since it is smaller than the sum of its proper divisors (4963666502784).

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

2424932959488 is a wasteful number, since it uses less digits than its factorization.

2424932959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57221 (or 57207 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 2424932959488 in words is "two trillion, four hundred twenty-four billion, nine hundred thirty-two million, nine hundred fifty-nine thousand, four hundred eighty-eight".