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20280599955 = 32572118111031
BaseRepresentation
bin10010111000110100…
…010110010110010011
31221100101112020000200
4102320310112112103
5313013313144310
613152231350243
71315400153400
oct227064262623
957311466020
1020280599955
118667962a10
123b1bb22383
131bb2872405
14da56892a7
157da6e69c0
hex4b8d16593

20280599955 has 144 divisors (see below), whose sum is σ = 44708122368. Its totient is φ = 8409744000.

The previous prime is 20280599929. The next prime is 20280600001. The reversal of 20280599955 is 55999508202.

20280599955 is a `hidden beast` number, since 20 + 28 + 0 + 599 + 9 + 5 + 5 = 666.

It is not a de Polignac number, because 20280599955 - 28 = 20280599699 is a prime.

It is a super-2 number, since 2×202805999552 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19670290 + ... + 19671320.

It is an arithmetic number, because the mean of its divisors is an integer number (310473072).

Almost surely, 220280599955 is an apocalyptic number.

20280599955 is an abundant number, since it is smaller than the sum of its proper divisors (24427522413).

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

20280599955 is a wasteful number, since it uses less digits than its factorization.

20280599955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 20280599955 in words is "twenty billion, two hundred eighty million, five hundred ninety-nine thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 811 1031 1155 1617 2205 2433 2695 3093 3465 4055 4851 5155 5677 7217 7299 8085 8921 9279 11341 12165 15465 17031 21651 24255 26763 28385 34023 36085 36495 39739 44605 46395 50519 51093 56705 62447 64953 79387 80289 85155 102069 108255 119217 133815 151557 170115 187341 198695 238161 252595 255465 312235 324765 357651 396935 401445 437129 454671 510345 555709 562023 596085 714483 757785 836141 936705 1190805 1311387 1667127 1788255 2185645 2273355 2508423 2778545 2810115 3572415 3934161 4180705 5001381 5852987 6556935 7525269 8335635 9197551 12542115 17558961 19670805 25006905 27592653 29264935 37626345 40970909 45987755 52676883 64382857 82777959 87794805 122912727 137963265 193148571 204854545 263384415 321914285 368738181 413889795 450679999 579445713 614563635 965742855 1352039997 1843690905 2253399995 2897228565 4056119991 6760199985 20280599955