Search a number
-
+
10697983743520 = 2551031823335603
BaseRepresentation
bin1001101110101101000110…
…0001010101011000100000
31101212201100212210012122101
42123223101201111120200
52400233432314243040
634430330315020144
72152622003311123
oct233532141253040
941781325705571
1010697983743520
113454a97a22347
12124941113a654
135c7a7a978898
1428dadc7463ba
1513842bec609a
hex9bad1855620

10697983743520 has 96 divisors (see below), whose sum is σ = 25521481544832. Its totient is φ = 4237296494592.

The previous prime is 10697983743509. The next prime is 10697983743593. The reversal of 10697983743520 is 2534738979601.

It is a super-2 number, since 2×106979837435202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300462039 + ... + 300497641.

It is an arithmetic number, because the mean of its divisors is an integer number (265848766092).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10697983743520 = 21395967487040, but 3⋅10697983743520 = 32093951230560 is not.

Almost surely, 210697983743520 is an apocalyptic number.

10697983743520 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 10697983743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760740772416).

10697983743520 is an abundant number, since it is smaller than the sum of its proper divisors (14823497801312).

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

10697983743520 is a wasteful number, since it uses less digits than its factorization.

10697983743520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53954 (or 53946 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 10697983743520 in words is "ten trillion, six hundred ninety-seven billion, nine hundred eighty-three million, seven hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 18233 35603 36466 71206 72932 91165 142412 145864 178015 182330 284824 291728 356030 364660 569648 583456 712060 729320 1139296 1424120 1458640 1877999 2848240 2917280 3667109 3755998 5696480 7334218 7511996 9389995 14668436 15023992 18335545 18779990 29336872 30047984 36671090 37559980 58673744 60095968 73342180 75119960 117347488 146684360 150239920 293368720 300479840 586737440 649149499 1298298998 2596597996 3245747495 5193195992 6491494990 10386391984 12982989980 20772783968 25965979960 51931959920 66862398397 103863919840 133724796794 267449593588 334311991985 534899187176 668623983970 1069798374352 1337247967940 2139596748704 2674495935880 5348991871760 10697983743520