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10454064435 = 3253111176709
BaseRepresentation
bin10011011110001110…
…00101110100110011
3222222120011111102200
421233013011310303
5132402220030220
64445202514243
7520030036653
oct115707056463
928876144380
1010454064435
114485057381
122039065983
13ca7aab159
1471259c363
15412ba0890
hex26f1c5d33

10454064435 has 48 divisors (see below), whose sum is σ = 18724442880. Its totient is φ = 5390012160.

The previous prime is 10454064427. The next prime is 10454064457. The reversal of 10454064435 is 53446045401.

10454064435 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 4 + 0 + 644 + 3 + 5 = 666.

It is not a de Polignac number, because 10454064435 - 23 = 10454064427 is a prime.

It is a super-2 number, since 2×104540644352 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10454064435.

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 47 ways as a sum of consecutive naturals, for example, 1554861 + ... + 1561569.

It is an arithmetic number, because the mean of its divisors is an integer number (390092560).

Almost surely, 210454064435 is an apocalyptic number.

10454064435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10454064435 is a deficient number, since it is larger than the sum of its proper divisors (8270378445).

10454064435 is a wasteful number, since it uses less digits than its factorization.

10454064435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10454064435 in words is "ten billion, four hundred fifty-four million, sixty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1117 1395 3351 5585 6709 10053 16755 20127 33545 34627 50265 60381 100635 103881 173135 207979 301905 311643 519405 623937 1039895 1558215 1871811 3119685 7493953 9359055 22481859 37469765 67445577 112409295 232312543 337227885 696937629 1161562715 2090812887 3484688145 10454064435