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20680751840 = 2557222911519
BaseRepresentation
bin10011010000101010…
…110011101011100000
31222101021111001012212
4103100222303223200
5314323233024330
613300044141252
71331326330100
oct232052635340
958337431185
1020680751840
118852821a51
124011b37828
131c47737b88
14100288d200
158108da295
hex4d0ab3ae0

20680751840 has 144 divisors (see below), whose sum is σ = 57088281600. Its totient is φ = 7058967552.

The previous prime is 20680751827. The next prime is 20680751881. The reversal of 20680751840 is 4815708602.

It is a congruent number.

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, 1789601 + ... + 1801119.

It is an arithmetic number, because the mean of its divisors is an integer number (396446400).

Almost surely, 220680751840 is an apocalyptic number.

20680751840 is a gapful number since it is divisible by the number (20) 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 20680751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28544140800).

20680751840 is an abundant number, since it is smaller than the sum of its proper divisors (36407529760).

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

20680751840 is a wasteful number, since it uses less digits than its factorization.

20680751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 20680751840 in words is "twenty billion, six hundred eighty million, seven hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 229 245 280 392 458 490 560 784 916 980 1120 1145 1568 1603 1832 1960 2290 3206 3664 3920 4580 6412 7328 7840 8015 9160 11221 11519 12824 16030 18320 22442 23038 25648 32060 36640 44884 46076 51296 56105 57595 64120 80633 89768 92152 112210 115190 128240 161266 179536 184304 224420 230380 256480 322532 359072 368608 403165 448840 460760 564431 645064 806330 897680 921520 1128862 1290128 1612660 1795360 1843040 2257724 2580256 2637851 2822155 3225320 4515448 5275702 5644310 6450640 9030896 10551404 11288620 12901280 13189255 18061792 18464957 21102808 22577240 26378510 36929914 42205616 45154480 52757020 73859828 84411232 90308960 92324785 105514040 129254699 147719656 184649570 211028080 258509398 295439312 369299140 422056160 517018796 590878624 646273495 738598280 1034037592 1292546990 1477196560 2068075184 2585093980 2954393120 4136150368 5170187960 10340375920 20680751840