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168182196000 = 25353713233661
BaseRepresentation
bin1001110010100001110…
…0001010011100100000
3121002002220110202211020
42130220130022130200
510223414120233000
6205132320045440
715102466036020
oct2345034123440
9532086422736
10168182196000
1165364513115
1228717a63880
1312b23472310
1481d6487a80
154594e76ba0
hex272870a720

168182196000 has 768 divisors, whose sum is σ = 682051249152. Its totient is φ = 35278848000.

The previous prime is 168182195989. The next prime is 168182196011. The reversal of 168182196000 is 691281861.

It is an interprime number because it is at equal distance from previous prime (168182195989) and next prime (168182196011).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254435670 + ... + 254436330.

It is an arithmetic number, because the mean of its divisors is an integer number (888087564).

Almost surely, 2168182196000 is an apocalyptic number.

168182196000 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 168182196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341025624576).

168182196000 is an abundant number, since it is smaller than the sum of its proper divisors (513869053152).

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

168182196000 is a wasteful number, since it uses less digits than its factorization.

168182196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 168182196000 in words is "one hundred sixty-eight billion, one hundred eighty-two million, one hundred ninety-six thousand".