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168014522120 = 23571101585743
BaseRepresentation
bin1001110001111001110…
…0100010011100001000
3121001200012222001111112
42130132130202130020
510223043204201440
6205103530145452
715065361605624
oct2343634423410
9531605861445
10168014522120
11652888aa265
122868b882288
1312ac77c59c3
1481bc0bc184
1545853a5965
hex271e722708

168014522120 has 64 divisors (see below), whose sum is σ = 387153354240. Its totient is φ = 65603104000.

The previous prime is 168014522089. The next prime is 168014522183. The reversal of 168014522120 is 21225410861.

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 15 ways as a sum of consecutive naturals, for example, 6032 + ... + 579711.

It is an arithmetic number, because the mean of its divisors is an integer number (6049271160).

Almost surely, 2168014522120 is an apocalyptic number.

168014522120 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 168014522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193576677120).

168014522120 is an abundant number, since it is smaller than the sum of its proper divisors (219138832120).

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

168014522120 is a wasteful number, since it uses less digits than its factorization.

168014522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585926 (or 585922 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 168014522120 its reverse (21225410861), we get a palindrome (189239932981).

The spelling of 168014522120 in words is "one hundred sixty-eight billion, fourteen million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 101 142 202 284 355 404 505 568 710 808 1010 1420 2020 2840 4040 7171 14342 28684 35855 57368 71710 143420 286840 585743 1171486 2342972 2928715 4685944 5857430 11714860 23429720 41587753 59160043 83175506 118320086 166351012 207938765 236640172 295800215 332702024 415877530 473280344 591600430 831755060 1183200860 1663510120 2366401720 4200363053 8400726106 16801452212 21001815265 33602904424 42003630530 84007261060 168014522120