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22019793984 = 263254317039
BaseRepresentation
bin10100100000011110…
…110110010001000000
32002211121010102201100
4110200132312101000
5330044031401414
614041000334400
71406446106046
oct244036662100
962747112640
1022019793984
11937a666151
124326474400
1320cbc926c6
1410cc654396
1588d23d609
hex5207b6440

22019793984 has 84 divisors (see below), whose sum is σ = 63136353280. Its totient is φ = 7337537280.

The previous prime is 22019793977. The next prime is 22019794001. The reversal of 22019793984 is 48939791022.

It is a self number, because there is not a number n which added to its sum of digits gives 22019793984.

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 11 ways as a sum of consecutive naturals, for example, 3124737 + ... + 3131775.

Almost surely, 222019793984 is an apocalyptic number.

22019793984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22019793984 is an abundant number, since it is smaller than the sum of its proper divisors (41116559296).

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

22019793984 is a wasteful number, since it uses less digits than its factorization.

22019793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 22019 and 793984, that added together give a triangular number (816003 = T1277).

The spelling of 22019793984 in words is "twenty-two billion, nineteen million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5431 7039 10862 14078 16293 21117 21724 28156 32586 42234 43448 48879 56312 63351 65172 84468 86896 97758 112624 126702 130344 168936 173792 195516 225248 253404 260688 337872 347584 391032 450496 506808 521376 675744 782064 1013616 1042752 1351488 1564128 2027232 3128256 4054464 38228809 76457618 114686427 152915236 229372854 305830472 344059281 458745708 611660944 688118562 917491416 1223321888 1376237124 1834982832 2446643776 2752474248 3669965664 5504948496 7339931328 11009896992 22019793984