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168327143424 = 21332111729421
BaseRepresentation
bin1001110011000100010…
…1000110000000000000
3121002111000012212022100
42130301011012000000
510224213222042144
6205154534510400
715106206053166
oct2346105060000
9532430185270
10168327143424
1165429314280
1228758505400
1312b474c251b
14820b819236
1545a2a59269
hex2731146000

168327143424 has 672 divisors, whose sum is σ = 582403854240. Its totient is φ = 46242201600.

The previous prime is 168327143399. The next prime is 168327143431. The reversal of 168327143424 is 424341723861.

168327143424 is a `hidden beast` number, since 1 + 6 + 83 + 2 + 7 + 143 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 168327143424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399826734 + ... + 399827154.

Almost surely, 2168327143424 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 168327143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291201927120).

168327143424 is an abundant number, since it is smaller than the sum of its proper divisors (414076710816).

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

168327143424 is a wasteful number, since it uses less digits than its factorization.

168327143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 483 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 168327143424 in words is "one hundred sixty-eight billion, three hundred twenty-seven million, one hundred forty-three thousand, four hundred twenty-four".