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2019963136 = 28534
BaseRepresentation
bin111100001100110…
…0011000100000000
312012202220202111111
41320121203010000
513114102310021
6532234453104
7101025255232
oct17031430400
95182822444
102019963136
11947242224
12484594194
13262646a79
141523b4252
15bc5078e1
hex78663100

2019963136 has 45 divisors (see below), whose sum is σ = 4109574931. Its totient is φ = 990925312.

The previous prime is 2019963119. The next prime is 2019963139. The reversal of 2019963136 is 6313699102.

The square root of 2019963136 is 44944.

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

It can be written as a sum of positive squares in 2 ways, for example, as 394260736 + 1625702400 = 19856^2 + 40320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2019963139) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 38112486 + ... + 38112538.

Almost surely, 22019963136 is an apocalyptic number.

2019963136 is the 44944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2019963136

2019963136 is an abundant number, since it is smaller than the sum of its proper divisors (2089611795).

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

2019963136 is an frugal number, since it uses more digits than its factorization.

2019963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The cubic root of 2019963136 is about 1264.0991750417.

The spelling of 2019963136 in words is "two billion, nineteen million, nine hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 2809 3392 5618 6784 11236 13568 22472 44944 89888 148877 179776 297754 359552 595508 719104 1191016 2382032 4764064 7890481 9528128 15780962 19056256 31561924 38112512 63123848 126247696 252495392 504990784 1009981568 2019963136