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2492542766520 = 23365233366859
BaseRepresentation
bin100100010001010111001…
…000000100110110111000
322211021200120221212000000
4210101113020010312320
5311314211422012040
65145020333513000
7345036350641062
oct44212710046670
98737616855000
102492542766520
11881099458404
123430a3642760
13151079748c51
14888d5534732
1544c840ca130
hex24457204db8

2492542766520 has 224 divisors, whose sum is σ = 8444596258800. Its totient is φ = 661823571456.

The previous prime is 2492542766509. The next prime is 2492542766521. The reversal of 2492542766520 is 256672452942.

2492542766520 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 5 + 42 + 76 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492542766521) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6610851 + ... + 6977709.

Almost surely, 22492542766520 is an apocalyptic number.

2492542766520 is a gapful number since it is divisible by the number (20) 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 2492542766520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222298129400).

2492542766520 is an abundant number, since it is smaller than the sum of its proper divisors (5952053492280).

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

2492542766520 is a wasteful number, since it uses less digits than its factorization.

2492542766520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367121 (or 367102 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2492542766520 in words is "two trillion, four hundred ninety-two billion, five hundred forty-two million, seven hundred sixty-six thousand, five hundred twenty".