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20006665536 = 2631113728681
BaseRepresentation
bin10010101000011111…
…010111110101000000
31220122022001220122110
4102220133113311000
5311433201244121
613105124135320
71305532564644
oct225037276500
956568056573
1020006665536
118537271a30
123a64237540
131b6ab9c840
14d7b13cc24
157c1635d76
hex4a87d7d40

20006665536 has 112 divisors (see below), whose sum is σ = 62188636608. Its totient is φ = 5596262400.

The previous prime is 20006665531. The next prime is 20006665537. The reversal of 20006665536 is 63556660002.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20006665494 and 20006665503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006665531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 336885 + ... + 391796.

It is an arithmetic number, because the mean of its divisors is an integer number (555255684).

Almost surely, 220006665536 is an apocalyptic number.

20006665536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20006665536 is an abundant number, since it is smaller than the sum of its proper divisors (42181971072).

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

20006665536 is a wasteful number, since it uses less digits than its factorization.

20006665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728720 (or 728710 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 20006665536 in words is "twenty billion, six million, six hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 728681 1457362 2186043 2914724 4372086 5829448 8015491 8744172 9472853 11658896 16030982 17488344 18945706 23317792 24046473 28418559 32061964 34976688 37891412 46635584 48092946 56837118 64123928 69953376 75782824 96185892 104201383 113674236 128247856 139906752 151565648 192371784 208402766 227348472 256495712 303131296 312604149 384743568 416805532 454696944 512991424 606262592 625208298 769487136 833611064 909393888 1250416596 1538974272 1667222128 1818787776 2500833192 3334444256 5001666384 6668888512 10003332768 20006665536