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19741374016 = 26721321932
BaseRepresentation
bin10010011000101011…
…010111011001000000
31212221210212201002121
4102120223113121000
5310412242432031
613022530054024
71266131624200
oct223053273100
955853781077
1019741374016
118410544541
1239ab41a314
131b27c34c00
14d53c02400
157a81d1011
hex498ad7640

19741374016 has 189 divisors, whose sum is σ = 49602127491. Its totient is φ = 7769309184.

The previous prime is 19741374011. The next prime is 19741374017. The reversal of 19741374016 is 61047314791.

The square root of 19741374016 is 140504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7446999616 + 12294374400 = 86296^2 + 110880^2 .

It is not an unprimeable number, because it can be changed into a prime (19741374011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102286816 + ... + 102287008.

It is an arithmetic number, because the mean of its divisors is an integer number (262445119).

Almost surely, 219741374016 is an apocalyptic number.

19741374016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19741374016 is the 140504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19741374016

19741374016 is an abundant number, since it is smaller than the sum of its proper divisors (29860753475).

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

19741374016 is an equidigital number, since it uses as much as digits as its factorization.

19741374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 19741374016 in words is "nineteen billion, seven hundred forty-one million, three hundred seventy-four thousand, sixteen".