Search a number
-
+
10226681683320 = 2335227375428843
BaseRepresentation
bin1001010011010001010110…
…1110101001110101111000
31100012122212000210212222010
42110310111232221311320
52320023221002331240
633430023412125520
72103565464016434
oct224642556516570
940178760725863
1010226681683320
113293125223873
121191bbb0068a0
135924ab21629b
14274d8ca719c4
1512b045a21280
hex94d15ba9d78

10226681683320 has 64 divisors (see below), whose sum is σ = 30815199515520. Its totient is φ = 2715101385344.

The previous prime is 10226681683289. The next prime is 10226681683423. The reversal of 10226681683320 is 2338618662201.

It is a self number, because there is not a number n which added to its sum of digits gives 10226681683320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187687182 + ... + 187741661.

It is an arithmetic number, because the mean of its divisors is an integer number (481487492430).

Almost surely, 210226681683320 is an apocalyptic number.

10226681683320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226681683320 is an abundant number, since it is smaller than the sum of its proper divisors (20588517832200).

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

10226681683320 is a wasteful number, since it uses less digits than its factorization.

10226681683320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375429084 (or 375429080 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 10226681683320 in words is "ten trillion, two hundred twenty-six billion, six hundred eighty-one million, six hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4540 5448 6810 9080 13620 27240 375428843 750857686 1126286529 1501715372 1877144215 2252573058 3003430744 3754288430 4505146116 5631432645 7508576860 9010292232 11262865290 15017153720 22525730580 45051461160 85222347361 170444694722 255667042083 340889389444 426111736805 511334084166 681778778888 852223473610 1022668168332 1278335210415 1704446947220 2045336336664 2556670420830 3408893894440 5113340841660 10226681683320