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20755466820 = 223251110482559
BaseRepresentation
bin10011010101000111…
…110100101001000100
31222120111001221220100
4103111013310221010
5320001344414240
613311313404100
71333224362034
oct232507645104
958514057810
1020755466820
118890a13470
124032b69630
131c5a06781a
14100c77b8c4
15817247e30
hex4d51f4a44

20755466820 has 72 divisors (see below), whose sum is σ = 68681733120. Its totient is φ = 5031627840.

The previous prime is 20755466813. The next prime is 20755466833. The reversal of 20755466820 is 2866455702.

20755466820 is a `hidden beast` number, since 20 + 7 + 5 + 546 + 6 + 82 + 0 = 666.

It is a super-2 number, since 2×207554668202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5239300 + ... + 5243259.

It is an arithmetic number, because the mean of its divisors is an integer number (953912960).

Almost surely, 220755466820 is an apocalyptic number.

20755466820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20755466820 is an abundant number, since it is smaller than the sum of its proper divisors (47926266300).

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

20755466820 is a wasteful number, since it uses less digits than its factorization.

20755466820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482585 (or 10482580 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 20755466820 in words is "twenty billion, seven hundred fifty-five million, four hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10482559 20965118 31447677 41930236 52412795 62895354 94343031 104825590 115308149 125790708 157238385 188686062 209651180 230616298 314476770 345924447 377372124 461232596 471715155 576540745 628953540 691848894 943430310 1037773341 1153081490 1383697788 1729622235 1886860620 2075546682 2306162980 3459244470 4151093364 5188866705 6918488940 10377733410 20755466820