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10683080708720 = 245725994549709
BaseRepresentation
bin1001101101110101100100…
…1110110001001001110000
31101211021220021002121012112
42123131121032301021300
52400012422130134340
634415423423144452
72151553461514100
oct233353116611160
941737807077175
1010683080708720
11344973a609762
121246552145128
135c654424cbb4
1428d0c7363200
15137d58967065
hex9b7593b1270

10683080708720 has 120 divisors (see below), whose sum is σ = 28941615252000. Its totient is φ = 3656654916096.

The previous prime is 10683080708717. The next prime is 10683080708789. The reversal of 10683080708720 is 2780708038601.

10683080708720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106830807087202 (a number of 27 digits) contains 22 as substring.

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, 73226 + ... + 4622934.

It is an arithmetic number, because the mean of its divisors is an integer number (241180127100).

Almost surely, 210683080708720 is an apocalyptic number.

10683080708720 is a gapful number since it is divisible by the number (10) 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 10683080708720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470807626000).

10683080708720 is an abundant number, since it is smaller than the sum of its proper divisors (18258534543280).

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

10683080708720 is a wasteful number, since it uses less digits than its factorization.

10683080708720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550335 (or 4550322 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 10683080708720 in words is "ten trillion, six hundred eighty-three billion, eighty million, seven hundred eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 599 784 980 1198 1960 2396 2995 3920 4193 4792 5990 8386 9584 11980 16772 20965 23960 29351 33544 41930 47920 58702 67088 83860 117404 146755 167720 234808 293510 335440 469616 587020 1174040 2348080 4549709 9099418 18198836 22748545 31847963 36397672 45497090 63695926 72795344 90994180 127391852 159239815 181988360 222935741 254783704 318479630 363976720 445871482 509567408 636959260 891742964 1114678705 1273918520 1783485928 2229357410 2547837040 2725275691 3566971856 4458714820 5450551382 8917429640 10901102764 13626378455 17834859280 19076929837 21802205528 27252756910 38153859674 43604411056 54505513820 76307719348 95384649185 109011027640 133538508859 152615438696 190769298370 218022055280 267077017718 305230877392 381538596740 534154035436 667692544295 763077193480 1068308070872 1335385088590 1526154386960 2136616141744 2670770177180 5341540354360 10683080708720