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823989916064 = 25722332255381
BaseRepresentation
bin10111111110110011010…
…00000101000110100000
32220202212021101202010102
423333121220011012200
5102000012404303224
61430311415321532
7113350144503200
oct13773150050640
92822767352112
10823989916064
112984a790a807
121138406802a8
135c918154b93
142bc4a4d8400
15166794904ae
hexbfd9a051a0

823989916064 has 72 divisors (see below), whose sum is σ = 1895183962308. Its totient is φ = 351622763520.

The previous prime is 823989916039. The next prime is 823989916147. The reversal of 823989916064 is 460619989328.

It can be written as a sum of positive squares in 2 ways, for example, as 823265875600 + 724040464 = 907340^2 + 26908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762347 + ... + 1493034.

Almost surely, 2823989916064 is an apocalyptic number.

It is an amenable number.

823989916064 is an abundant number, since it is smaller than the sum of its proper divisors (1071194046244).

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

823989916064 is a wasteful number, since it uses less digits than its factorization.

823989916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255638 (or 2255623 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 65.

The spelling of 823989916064 in words is "eight hundred twenty-three billion, nine hundred eighty-nine million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 233 392 466 784 932 1568 1631 1864 3262 3728 6524 7456 11417 13048 22834 26096 45668 52192 91336 182672 365344 2255381 4510762 9021524 15787667 18043048 31575334 36086096 63150668 72172192 110513669 126301336 221027338 252602672 442054676 505205344 525503773 884109352 1051007546 1768218704 2102015092 3536437408 3678526411 4204030184 7357052822 8408060368 14714105644 16816120736 25749684877 29428211288 51499369754 58856422576 102998739508 117712845152 205997479016 411994958032 823989916064