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168421068288 = 2936111719127
BaseRepresentation
bin1001110011011010101…
…1011000111000000000
3121002201112221202000000
42130312223120320000
510224411243141123
6205212132000000
715111426313464
oct2346653307000
9532645852000
10168421068288
1165477336430
1228783a60000
1312b60ab9a75
14821a0a84a4
1545aae0db43
hex2736ad8e00

168421068288 has 1120 divisors, whose sum is σ = 618286141440. Its totient is φ = 45148078080.

The previous prime is 168421068241. The next prime is 168421068293. The reversal of 168421068288 is 882860124861.

168421068288 is a `hidden beast` number, since 1 + 68 + 421 + 0 + 6 + 82 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1326150081 + ... + 1326150207.

Almost surely, 2168421068288 is an apocalyptic number.

168421068288 is a gapful number since it is divisible by the number (18) 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 168421068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309143070720).

168421068288 is an abundant number, since it is smaller than the sum of its proper divisors (449865073152).

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

168421068288 is a wasteful number, since it uses less digits than its factorization.

168421068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 168421068288 in words is "one hundred sixty-eight billion, four hundred twenty-one million, sixty-eight thousand, two hundred eighty-eight".