Search a number
-
+
1010481043264 = 26711415001193
BaseRepresentation
bin11101011010001010101…
…11010001011101000000
310120121020011100120220121
432231011113101131000
5113023431121341024
62052113015350024
7133001443102330
oct16550527213500
93517204316817
101010481043264
1135a5a7229920
12143a08082314
13743988317a4
1436c9c4290c0
151b4419958e4
hexeb455d1740

1010481043264 has 112 divisors (see below), whose sum is σ = 2560931404416. Its totient is φ = 384091545600.

The previous prime is 1010481043217. The next prime is 1010481043301. The reversal of 1010481043264 is 4623401840101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 2298549 + ... + 2702644.

It is an arithmetic number, because the mean of its divisors is an integer number (22865458968).

Almost surely, 21010481043264 is an apocalyptic number.

1010481043264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010481043264 is an abundant number, since it is smaller than the sum of its proper divisors (1550450361152).

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

1010481043264 is a wasteful number, since it uses less digits than its factorization.

1010481043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001264 (or 5001254 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 1010481043264 its reverse (4623401840101), we get a palindrome (5633882883365).

The spelling of 1010481043264 in words is "one trillion, ten billion, four hundred eighty-one million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 154 164 176 224 287 308 328 352 448 451 574 616 656 704 902 1148 1232 1312 1804 2296 2464 2624 3157 3608 4592 4928 6314 7216 9184 12628 14432 18368 25256 28864 50512 101024 202048 5001193 10002386 20004772 35008351 40009544 55013123 70016702 80019088 110026246 140033404 160038176 205048913 220052492 280066808 320076352 385091861 410097826 440104984 560133616 770183722 820195652 880209968 1120267232 1435342391 1540367444 1640391304 1760419936 2240534464 2255538043 2870684782 3080734888 3280782608 3520839872 4511076086 5741369564 6161469776 6561565216 9022152172 11482739128 12322939552 13123130432 15788766301 18044304344 22965478256 24645879104 31577532602 36088608688 45930956512 63155065204 72177217376 91861913024 126310130408 144354434752 252620260816 505240521632 1010481043264