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83462271048 = 2338132972
BaseRepresentation
bin100110110111010111…
…1010011000001001000
321222102121222200000000
41031232233103001020
52331412320133143
6102201514043000
76013162412202
oct1155657230110
9258377880000
1083462271048
113243a304612
1214213419460
137b41521500
14407a915772
152287426bd3
hex136ebd3048

83462271048 has 324 divisors, whose sum is σ = 256817772315. Its totient is φ = 25415949312.

The previous prime is 83462271007. The next prime is 83462271059. The reversal of 83462271048 is 84017226438.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

83462271048 is a `hidden beast` number, since 8 + 3 + 4 + 622 + 7 + 10 + 4 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 9479359044 + 73982912004 = 97362^2 + 271998^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=204282.

It is a junction number, because it is equal to n+sod(n) for n = 83462270994 and 83462271012.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 860435736 + ... + 860435832.

Almost surely, 283462271048 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 83462271048

83462271048 is an abundant number, since it is smaller than the sum of its proper divisors (173355501267).

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

83462271048 is an frugal number, since it uses more digits than its factorization.

83462271048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 83462271048 in words is "eighty-three billion, four hundred sixty-two million, two hundred seventy-one thousand, forty-eight".