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481367841696 = 25327276944357
BaseRepresentation
bin1110000000100111100…
…00100101101110100000
31201000111100112000001100
413000103300211232200
530341320131413241
61005045355234400
746530513100200
oct7002360455640
91630440460040
10481367841696
11176168663165
1279361148a00
1336514c72431
141942687c400
15c7c50089b6
hex7013c25ba0

481367841696 has 216 divisors, whose sum is σ = 1594488675780. Its totient is φ = 137351725056.

The previous prime is 481367841653. The next prime is 481367841719. The reversal of 481367841696 is 696148763184.

It is a happy number.

481367841696 is a `hidden beast` number, since 481 + 3 + 67 + 8 + 4 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 459635185296 + 21732656400 = 677964^2 + 147420^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10829950 + ... + 10874306.

Almost surely, 2481367841696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481367841696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797244337890).

481367841696 is an abundant number, since it is smaller than the sum of its proper divisors (1113120834084).

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

481367841696 is a wasteful number, since it uses less digits than its factorization.

481367841696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45156 (or 45138 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 481367841696 in words is "four hundred eighty-one billion, three hundred sixty-seven million, eight hundred forty-one thousand, six hundred ninety-six".