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1318005025936 = 24172168832
BaseRepresentation
bin10011001011011111001…
…110001010110010010000
311200000000000222112112121
4103023133032022302100
5133043233241312221
62445252205504024
7164136251605354
oct23133716126220
94600000875477
101318005025936
11468a65527715
12193531272014
1397397397541
1447b12923464
152443e972a41
hex132df38ac90

1318005025936 has 45 divisors (see below), whose sum is σ = 2712845337241. Its totient is φ = 620200921856.

The previous prime is 1318005025933. The next prime is 1318005025957. The reversal of 1318005025936 is 6395205008131.

The square root of 1318005025936 is 1148044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1026128480400 + 291876545536 = 1012980^2 + 540256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1318005025892 and 1318005025901.

It is not an unprimeable number, because it can be changed into a prime (1318005025933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78058551 + ... + 78075433.

Almost surely, 21318005025936 is an apocalyptic number.

1318005025936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1318005025936 is the 1148044-th square number.

It is an amenable number.

1318005025936 is an abundant number, since it is smaller than the sum of its proper divisors (1394840311305).

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

1318005025936 is an frugal number, since it uses more digits than its factorization.

1318005025936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33808 (or 16902 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1318005025936 in words is "one trillion, three hundred eighteen billion, five million, twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 16883 33766 67532 135064 270128 287011 574022 1148044 2296088 4592176 4879187 9758374 19516748 39033496 78066992 285035689 570071378 1140142756 2280285512 4560571024 4845606713 9691213426 19382426852 38764853704 77529707408 82375314121 164750628242 329501256484 659002512968 1318005025936