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22606378496 = 2913313312
BaseRepresentation
bin10101000011011100…
…011111011000000000
32011100110220000101122
4111003130133120000
5332244213102441
614215113051412
71430131022012
oct250334373000
964313800348
1022606378496
119650790839
12446a9b6b68
132193671c30
1411465081b2
158c49ab34b
hex54371f600

22606378496 has 120 divisors (see below), whose sum is σ = 50364401472. Its totient is φ = 10066636800.

The previous prime is 22606378493. The next prime is 22606378499. The reversal of 22606378496 is 69487360622.

It is an interprime number because it is at equal distance from previous prime (22606378493) and next prime (22606378499).

It is a super-2 number, since 2×226063784962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22606378493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68297051 + ... + 68297381.

Almost surely, 222606378496 is an apocalyptic number.

22606378496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22606378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25182200736).

22606378496 is an abundant number, since it is smaller than the sum of its proper divisors (27758022976).

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

22606378496 is an frugal number, since it uses more digits than its factorization.

22606378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 22606378496 in words is "twenty-two billion, six hundred six million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 331 403 416 496 512 662 806 832 992 1324 1612 1664 1984 2648 3224 3328 3968 4303 5296 6448 6656 7936 8606 10261 10592 12896 15872 17212 20522 21184 25792 34424 41044 42368 51584 68848 82088 84736 103168 109561 133393 137696 164176 169472 206336 219122 266786 275392 328352 438244 533572 550784 656704 876488 1067144 1101568 1313408 1424293 1752976 2134288 2203136 2626816 2848586 3396391 3505952 4268576 5253632 5697172 6792782 7011904 8537152 11394344 13585564 14023808 17074304 22788688 27171128 28047616 34148608 44153083 45577376 54342256 56095232 68297216 88306166 91154752 108684512 176612332 182309504 217369024 353224664 364619008 434738048 706449328 729238016 869476096 1412898656 1738952192 2825797312 5651594624 11303189248 22606378496