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20981321568 = 2533123119727
BaseRepresentation
bin10011100010100101…
…011000111101100000
32000011020001120101000
4103202211120331200
5320432204242233
613345542312000
71341636201504
oct234245307540
960136046330
1020981321568
118997455489
124096728600
131c94aa509c
141030770304
1582beacd13
hex4e2958f60

20981321568 has 96 divisors (see below), whose sum is σ = 61248337920. Its totient is φ = 6987738240.

The previous prime is 20981321567. The next prime is 20981321677. The reversal of 20981321568 is 86512318902.

20981321568 is a `hidden beast` number, since 2 + 0 + 9 + 81 + 3 + 2 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20981321567) 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, 1053721 + ... + 1073447.

It is an arithmetic number, because the mean of its divisors is an integer number (638003520).

Almost surely, 220981321568 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 20981321568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30624168960).

20981321568 is an abundant number, since it is smaller than the sum of its proper divisors (40267016352).

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

20981321568 is a wasteful number, since it uses less digits than its factorization.

20981321568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20977 (or 20963 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20981321568 in words is "twenty billion, nine hundred eighty-one million, three hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1231 2462 3693 4924 7386 9848 11079 14772 19696 19727 22158 29544 33237 39392 39454 44316 59088 59181 66474 78908 88632 118176 118362 132948 157816 177264 177543 236724 265896 315632 354528 355086 473448 531792 532629 631264 710172 946896 1063584 1065258 1420344 1893792 2130516 2840688 4261032 5681376 8522064 17044128 24283937 48567874 72851811 97135748 145703622 194271496 218555433 291407244 388542992 437110866 582814488 655666299 777085984 874221732 1165628976 1311332598 1748443464 2331257952 2622665196 3496886928 5245330392 6993773856 10490660784 20981321568