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168195950208 = 27321113171929109
BaseRepresentation
bin1001110010100101000…
…0101000011010000000
3121002010212100120001100
42130221100220122000
510223431130401313
6205133530534400
715103023662526
oct2345120503200
9532125316040
10168195950208
1165371257930
1228720597400
1312b262798c0
1481d8228316
154596292173
hex2729428680

168195950208 has 1536 divisors, whose sum is σ = 661620960000. Its totient is φ = 40131624960.

The previous prime is 168195950159. The next prime is 168195950213. The reversal of 168195950208 is 802059591861.

168195950208 is a `hidden beast` number, since 1 + 6 + 81 + 9 + 59 + 502 + 0 + 8 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1543082058 + ... + 1543082166.

Almost surely, 2168195950208 is an apocalyptic number.

168195950208 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 168195950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330810480000).

168195950208 is an abundant number, since it is smaller than the sum of its proper divisors (493425009792).

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

168195950208 is a wasteful number, since it uses less digits than its factorization.

168195950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 168195950208 in words is "one hundred sixty-eight billion, one hundred ninety-five million, nine hundred fifty thousand, two hundred eight".