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20787822768 = 2431731839901
BaseRepresentation
bin10011010111000011…
…010000000010110000
31222122201221210220210
4103113003100002300
5320033140312033
613314431104120
71334066402166
oct232703200260
958581853823
1020787822768
1188a8202a19
124041972040
131c63985c5b
141012ba1236
15819ed9d63
hex4d70d00b0

20787822768 has 160 divisors (see below), whose sum is σ = 59408197632. Its totient is φ = 6234624000.

The previous prime is 20787822701. The next prime is 20787822773. The reversal of 20787822768 is 86722878702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2094618 + ... + 2104518.

Almost surely, 220787822768 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 20787822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29704098816).

20787822768 is an abundant number, since it is smaller than the sum of its proper divisors (38620374864).

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

20787822768 is a wasteful number, since it uses less digits than its factorization.

20787822768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 20787822768 in words is "twenty billion, seven hundred eighty-seven million, eight hundred twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 83 93 102 124 136 166 186 204 248 249 272 332 372 408 496 498 527 664 744 816 996 1054 1328 1411 1488 1581 1992 2108 2573 2822 3162 3984 4216 4233 5146 5644 6324 7719 8432 8466 9901 10292 11288 12648 15438 16932 19802 20584 22576 25296 29703 30876 33864 39604 41168 43741 59406 61752 67728 79208 87482 118812 123504 131223 158416 168317 174964 237624 262446 306931 336634 349928 475248 504951 524892 613862 673268 699856 821783 920793 1009902 1049784 1227724 1346536 1643566 1841586 2019804 2099568 2455448 2465349 2693072 3287132 3683172 4039608 4910896 4930698 5217827 6574264 7366344 8079216 9861396 10435654 13148528 13970311 14732688 15653481 19722792 20871308 25475273 27940622 31306962 39445584 41742616 41910933 50950546 55881244 62613924 76425819 83485232 83821866 101901092 111762488 125227848 152851638 167643732 203802184 223524976 250455696 305703276 335287464 407604368 433079641 611406552 670574928 866159282 1222813104 1299238923 1732318564 2598477846 3464637128 5196955692 6929274256 10393911384 20787822768