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481650966000 = 243253292114373
BaseRepresentation
bin1110000001001001010…
…00100111110111110000
31201001020002021012120200
413000210220213313300
530342410121403000
61005133431435200
746540521442401
oct7004450476760
91631202235520
10481650966000
111762a3460696
127941bb25b00
133655b811bc9
14194522db9a8
15c7decd2500
hex7024a27df0

481650966000 has 480 divisors, whose sum is σ = 1748902259520. Its totient is φ = 123395328000.

The previous prime is 481650965993. The next prime is 481650966001. The reversal of 481650966000 is 669056184.

481650966000 is a `hidden beast` number, since 4 + 81 + 6 + 509 + 6 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481650966001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110139814 + ... + 110144186.

It is an arithmetic number, because the mean of its divisors is an integer number (3643546374).

Almost surely, 2481650966000 is an apocalyptic number.

481650966000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481650966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874451129760).

481650966000 is an abundant number, since it is smaller than the sum of its proper divisors (1267251293520).

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

481650966000 is a wasteful number, since it uses less digits than its factorization.

481650966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 481650966000 in words is "four hundred eighty-one billion, six hundred fifty million, nine hundred sixty-six thousand".