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20002276992 = 2731032831787
BaseRepresentation
bin10010101000001110…
…101000011010000000
31220121222210221200210
4102220032220122000
5311431040330432
613104450114120
71305450356235
oct225016503200
956558727623
1020002276992
118534844835
123a6287b940
131b69cc4179
14d7a71978c
157c106a8cc
hex4a83a8680

20002276992 has 128 divisors (see below), whose sum is σ = 53866575360. Its totient is φ = 6575680512.

The previous prime is 20002276969. The next prime is 20002277021. The reversal of 20002276992 is 29967220002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20002276992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11192323 + ... + 11194109.

It is an arithmetic number, because the mean of its divisors is an integer number (420832620).

Almost surely, 220002276992 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 20002276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933287680).

20002276992 is an abundant number, since it is smaller than the sum of its proper divisors (33864298368).

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

20002276992 is a wasteful number, since it uses less digits than its factorization.

20002276992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

Adding to 20002276992 its reverse (29967220002), we get a palindrome (49969496994).

The spelling of 20002276992 in words is "twenty billion, two million, two hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 283 309 384 412 566 618 824 849 1132 1236 1648 1698 1787 2264 2472 3296 3396 3574 4528 4944 5361 6592 6792 7148 9056 9888 10722 13184 13584 14296 18112 19776 21444 27168 28592 29149 36224 39552 42888 54336 57184 58298 85776 87447 108672 114368 116596 171552 174894 184061 228736 233192 343104 349788 368122 466384 505721 552183 686208 699576 736244 932768 1011442 1104366 1399152 1472488 1517163 1865536 2022884 2208732 2798304 2944976 3034326 3731072 4045768 4417464 5596608 5889952 6068652 8091536 8834928 11193216 11779904 12137304 16183072 17669856 23559808 24274608 32366144 35339712 48549216 52089263 64732288 70679424 97098432 104178526 156267789 194196864 208357052 312535578 416714104 625071156 833428208 1250142312 1666856416 2500284624 3333712832 5000569248 6667425664 10001138496 20002276992