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168460452000 = 2533538318793
BaseRepresentation
bin1001110011100100000…
…1101000000010100000
3121002211022001122022000
42130321001220002200
510230001333431000
6205220100044000
715112415134011
oct2347101500240
9532738048260
10168460452000
1165497595a55
1228795093600
1312b68cc8c39
1482213db008
1545ae5dd000
hex27390680a0

168460452000 has 384 divisors, whose sum is σ = 620616971520. Its totient is φ = 44379187200.

The previous prime is 168460451989. The next prime is 168460452011. The reversal of 168460452000 is 254064861.

168460452000 is a `hidden beast` number, since 168 + 46 + 0 + 452 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (168460451989) and next prime (168460452011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8954604 + ... + 8973396.

It is an arithmetic number, because the mean of its divisors is an integer number (1616190030).

Almost surely, 2168460452000 is an apocalyptic number.

168460452000 is a gapful number since it is divisible by the number (10) 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 168460452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310308485760).

168460452000 is an abundant number, since it is smaller than the sum of its proper divisors (452156519520).

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

168460452000 is a wasteful number, since it uses less digits than its factorization.

168460452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910 (or 18886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 168460452000 in words is "one hundred sixty-eight billion, four hundred sixty million, four hundred fifty-two thousand".