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481251949956 = 223213368109721
BaseRepresentation
bin1110000000011001101…
…10011111110110000100
31201000012021110002110200
413000030312133312010
530341100444344311
61005030055250500
746524605036331
oct7001466376604
91630167402420
10481251949956
111761091a7a68
127932a379a30
13364c6c5643b
1419415311988
15c7b9c65556
hex700cd9fd84

481251949956 has 18 divisors (see below), whose sum is σ = 1216497984702. Its totient is φ = 160417316640.

The previous prime is 481251949921. The next prime is 481251949957. The reversal of 481251949956 is 659949152184.

481251949956 is a `hidden beast` number, since 4 + 8 + 125 + 19 + 499 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 360460947456 + 120791002500 = 600384^2 + 347550^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 481251949893 and 481251949902.

It is not an unprimeable number, because it can be changed into a prime (481251949957) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6684054825 + ... + 6684054896.

Almost surely, 2481251949956 is an apocalyptic number.

It is an amenable number.

481251949956 is an abundant number, since it is smaller than the sum of its proper divisors (735246034746).

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

481251949956 is a wasteful number, since it uses less digits than its factorization.

481251949956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368109731 (or 13368109726 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 481251949956 in words is "four hundred eighty-one billion, two hundred fifty-one million, nine hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 13368109721 26736219442 40104329163 53472438884 80208658326 120312987489 160417316652 240625974978 481251949956