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20840823328 = 2513174017349
BaseRepresentation
bin10011011010001101…
…011011101000100000
31222210102200112000111
4103122031123220200
5320140222321303
613324003101104
71335312034603
oct233215335040
958712615014
1020840823328
118925113036
124057671794
131c71952030
141019c3a33a
1581e9a8b6d
hex4da35ba20

20840823328 has 96 divisors (see below), whose sum is σ = 46908817200. Its totient is φ = 9029222400.

The previous prime is 20840823307. The next prime is 20840823329. The reversal of 20840823328 is 82332804802.

It can be written as a sum of positive squares in 8 ways, for example, as 17777422224 + 3063401104 = 133332^2 + 55348^2 .

It is not an unprimeable number, because it can be changed into a prime (20840823329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832198 + ... + 2839546.

Almost surely, 220840823328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20840823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454408600).

20840823328 is an abundant number, since it is smaller than the sum of its proper divisors (26067993872).

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

20840823328 is a wasteful number, since it uses less digits than its factorization.

20840823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 20840823328 in words is "twenty billion, eight hundred forty million, eight hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 401 416 442 544 802 884 1604 1768 3208 3536 5213 6416 6817 7072 7349 10426 12832 13634 14698 20852 27268 29396 41704 54536 58792 83408 88621 95537 109072 117584 124933 166816 177242 191074 218144 235168 249866 354484 382148 499732 708968 764296 999464 1417936 1528592 1624129 1998928 2835872 2946949 3057184 3248258 3997856 5893898 6496516 11787796 12993032 23575592 25986064 38310337 47151184 50098133 51972128 76620674 94302368 100196266 153241348 200392532 306482696 400785064 612965392 651275729 801570128 1225930784 1302551458 1603140256 2605102916 5210205832 10420411664 20840823328