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5461455624928 = 251729346187603
BaseRepresentation
bin100111101111001100000…
…0111110101101011100000
3201100002222020021201011121
41033132120013311223200
51203440030114444203
615340542540022024
71102401650566252
oct117363007655340
921302866251147
105461455624928
111816210358526
12742572531914
133080228b59c4
1414c49b86dcd2
15970e954e0bd
hex4f7981f5ae0

5461455624928 has 48 divisors (see below), whose sum is σ = 11777302288080. Its totient is φ = 2481472731136.

The previous prime is 5461455624907. The next prime is 5461455624943. The reversal of 5461455624928 is 8294265541645.

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 7 ways as a sum of consecutive naturals, for example, 173078026 + ... + 173109577.

It is an arithmetic number, because the mean of its divisors is an integer number (245360464335).

Almost surely, 25461455624928 is an apocalyptic number.

5461455624928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5461455624928 is an abundant number, since it is smaller than the sum of its proper divisors (6315846663152).

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

5461455624928 is a wasteful number, since it uses less digits than its factorization.

5461455624928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346187659 (or 346187651 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 61.

The spelling of 5461455624928 in words is "five trillion, four hundred sixty-one billion, four hundred fifty-five million, six hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 346187603 692375206 1384750412 2769500824 5539001648 5885189251 10039440487 11078003296 11770378502 20078880974 23540757004 40157761948 47081514008 80315523896 94163028016 160631047792 170670488279 188326056032 321262095584 341340976558 682681953116 1365363906232 2730727812464 5461455624928