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168993341440 = 214571173367
BaseRepresentation
bin1001110101100011001…
…0011100000000000000
3121011012102210020011221
42131120302130000000
510232044243411230
6205345013444424
715131545462360
oct2353062340000
9534172706157
10168993341440
1165740376750
1228903640714
1312c22528231
1482720b49a0
1545e12a127a
hex2758c9c000

168993341440 has 480 divisors, whose sum is σ = 513971103744. Its totient is φ = 51810140160.

The previous prime is 168993341357. The next prime is 168993341471. The reversal of 168993341440 is 44143399861.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 460472137 + ... + 460472503.

Almost surely, 2168993341440 is an apocalyptic number.

168993341440 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 168993341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256985551872).

168993341440 is an abundant number, since it is smaller than the sum of its proper divisors (344977762304).

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

168993341440 is an equidigital number, since it uses as much as digits as its factorization.

168993341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 168993341440 in words is "one hundred sixty-eight billion, nine hundred ninety-three million, three hundred forty-one thousand, four hundred forty".