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21561363540 = 2233553753367
BaseRepresentation
bin10100000101001010…
…000100110001010100
32001122122111202101000
4110011022010301110
5323124202113130
613523302503300
71362211365123
oct240512046124
961578452330
1021561363540
119164911612
124218a34b30
1320580036a2
1410877ddaba
15862d87260
hex505284c54

21561363540 has 96 divisors (see below), whose sum is σ = 68345544960. Its totient is φ = 5641204608.

The previous prime is 21561363539. The next prime is 21561363541. The reversal of 21561363540 is 4536316512.

21561363540 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 13 + 635 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21561363539) and next prime (21561363541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21561363495 and 21561363504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21561363541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348064 + ... + 405303.

It is an arithmetic number, because the mean of its divisors is an integer number (711932760).

Almost surely, 221561363540 is an apocalyptic number.

21561363540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21561363540 is an abundant number, since it is smaller than the sum of its proper divisors (46784181420).

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

21561363540 is a wasteful number, since it uses less digits than its factorization.

21561363540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753438 (or 753430 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 21561363540 in words is "twenty-one billion, five hundred sixty-one million, three hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 753367 1506734 2260101 3013468 3766835 4520202 6780303 7533670 9040404 11300505 13560606 15067340 20340909 22601010 27121212 33901515 39928451 40681818 45202020 67803030 79856902 81363636 101704545 119785353 135606060 159713804 199642255 203409090 239570706 359356059 399284510 406818180 479141412 598926765 718712118 798569020 1078068177 1197853530 1437424236 1796780295 2156136354 2395707060 3593560590 4312272708 5390340885 7187121180 10780681770 21561363540