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168417421504 = 2619991139759
BaseRepresentation
bin1001110011011001110…
…1011110100011000000
3121002201022002110112221
42130312131132203000
510224404324442004
6205211521500424
715111353314453
oct2346635364300
9532638073487
10168417421504
1165475275562
12287827a1714
1312b60110bc7
1482197d949a
1545aa93d354
hex273675e8c0

168417421504 has 56 divisors (see below), whose sum is σ = 352150476800. Its totient is φ = 79695601920.

The previous prime is 168417421433. The next prime is 168417421621. The reversal of 168417421504 is 405124714861.

168417421504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135177 + ... + 1274935.

Almost surely, 2168417421504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168417421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176075238400).

168417421504 is an abundant number, since it is smaller than the sum of its proper divisors (183733055296).

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

168417421504 is a wasteful number, since it uses less digits than its factorization.

168417421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140781 (or 140771 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 168417421504 in words is "one hundred sixty-eight billion, four hundred seventeen million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 991 1216 1982 3964 7928 15856 18829 31712 37658 63424 75316 139759 150632 279518 301264 559036 602528 1118072 1205056 2236144 2655421 4472288 5310842 8944576 10621684 21243368 42486736 84973472 138501169 169946944 277002338 554004676 1108009352 2216018704 2631522211 4432037408 5263044422 8864074816 10526088844 21052177688 42104355376 84208710752 168417421504