Search a number
-
+
168864437040 = 24351354123217
BaseRepresentation
bin1001110101000100011…
…0101101001100110000
3121010212110020012120220
42131101012231030300
510231313243441130
6205324130533040
715125422013655
oct2352106551460
9533773205526
10168864437040
1165684632992
1228888437180
1312c01904340
14825cd1bc2c
1545d4cdc410
hex27511ad330

168864437040 has 80 divisors (see below), whose sum is σ = 563747438688. Its totient is φ = 41566629888.

The previous prime is 168864436969. The next prime is 168864437057. The reversal of 168864437040 is 40734468861.

168864437040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1688644370402 (a number of 23 digits) contains 22 as substring.

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, 27058489 + ... + 27064728.

Almost surely, 2168864437040 is an apocalyptic number.

168864437040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168864437040 is an abundant number, since it is smaller than the sum of its proper divisors (394883001648).

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

168864437040 is a wasteful number, since it uses less digits than its factorization.

168864437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54123246 (or 54123240 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 168864437040 in words is "one hundred sixty-eight billion, eight hundred sixty-four million, four hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 54123217 108246434 162369651 216492868 270616085 324739302 432985736 541232170 649478604 703601821 811848255 865971472 1082464340 1298957208 1407203642 1623696510 2110805463 2164928680 2597914416 2814407284 3247393020 3518009105 4221610926 4329857360 5628814568 6494786040 7036018210 8443221852 10554027315 11257629136 12989572080 14072036420 16886443704 21108054630 28144072840 33772887408 42216109260 56288145680 84432218520 168864437040