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19533416644 = 22726721492
BaseRepresentation
bin10010001100010010…
…000100100011000100
31212102022120101012201
4102030102010203010
5310001023313034
612550140524244
71261025205400
oct221422044304
955368511181
1019533416644
118314117045
123951850684
131ac3b22a01
14d3434c100
15794d04014
hex48c4848c4

19533416644 has 81 divisors (see below), whose sum is σ = 40639549293. Its totient is φ = 8191171296.

The previous prime is 19533416641. The next prime is 19533416663. The reversal of 19533416644 is 44661433591.

The square root of 19533416644 is 139762.

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

It can be written as a sum of positive squares in only one way, i.e., 2288474244 + 17244942400 = 47838^2 + 131320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19533416594 and 19533416603.

It is not an unprimeable number, because it can be changed into a prime (19533416641) 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 26 ways as a sum of consecutive naturals, for example, 131096682 + ... + 131096830.

Almost surely, 219533416644 is an apocalyptic number.

19533416644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19533416644 is the 139762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19533416644

19533416644 is an abundant number, since it is smaller than the sum of its proper divisors (21106132649).

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

19533416644 is an equidigital number, since it uses as much as digits as its factorization.

19533416644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 19533416644 in words is "nineteen billion, five hundred thirty-three million, four hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 149 196 268 298 469 596 938 1043 1876 2086 3283 4172 4489 6566 7301 8978 9983 13132 14602 17956 19966 22201 29204 31423 39932 44402 62846 69881 88804 125692 139762 155407 219961 279524 310814 439922 489167 621628 668861 879844 978334 1087849 1337722 1487467 1956668 2175698 2675444 2974934 4351396 4682027 5949868 9364054 10412269 18728108 20824538 32774189 41649076 65548378 72885883 99660289 131096756 145771766 199320578 291543532 398641156 697622023 1395244046 2790488092 4883354161 9766708322 19533416644