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10984068720 = 2433519267643
BaseRepresentation
bin10100011101011001…
…11001011001110000
31001100111110111122000
422032230321121300
5134443410144340
65013534414000
7536124020652
oct121654713160
931314414560
1010984068720
114727247449
122166661300
13106083a161
14762b246d2
15444493d30
hex28eb39670

10984068720 has 160 divisors (see below), whose sum is σ = 39825427200. Its totient is φ = 2774912256.

The previous prime is 10984068673. The next prime is 10984068721. The reversal of 10984068720 is 2786048901.

10984068720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984068721) 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 31 ways as a sum of consecutive naturals, for example, 92782 + ... + 174861.

It is an arithmetic number, because the mean of its divisors is an integer number (248908920).

Almost surely, 210984068720 is an apocalyptic number.

10984068720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10984068720 is an abundant number, since it is smaller than the sum of its proper divisors (28841358480).

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

10984068720 is a wasteful number, since it uses less digits than its factorization.

10984068720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267684 (or 267672 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10984068720 in words is "ten billion, nine hundred eighty-four million, sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 267643 535286 802929 1070572 1338215 1605858 2141144 2408787 2676430 3211716 4014645 4282288 4817574 5085217 5352860 6423432 7226361 8029290 9635148 10170434 10705720 12043935 12846864 14452722 15255651 16058580 19270296 20340868 21411440 24087870 25426085 28905444 30511302 32117160 36131805 38540592 40681736 45766953 48175740 50852170 57810888 61022604 64234320 72263610 76278255 81363472 91533906 96351480 101704340 115621776 122045208 137300859 144527220 152556510 183067812 192702960 203408680 228834765 244090416 274601718 289054440 305113020 366135624 406817360 457669530 549203436 578108880 610226040 686504295 732271248 915339060 1098406872 1220452080 1373008590 1830678120 2196813744 2746017180 3661356240 5492034360 10984068720