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2139165168 = 243723129339
BaseRepresentation
bin111111110000001…
…0001000111110000
312112002012211221120
41333200101013300
513340111241133
6552133422240
7104003414100
oct17740210760
95462184846
102139165168
119a85594a8
124b849a980
1328125170a
14164163200
15c7c01ab3
hex7f8111f0

2139165168 has 120 divisors (see below), whose sum is σ = 6636003840. Its totient is φ = 591454080.

The previous prime is 2139165167. The next prime is 2139165181. The reversal of 2139165168 is 8615619312.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139165167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58243 + ... + 87581.

It is an arithmetic number, because the mean of its divisors is an integer number (55300032).

Almost surely, 22139165168 is an apocalyptic number.

2139165168 is a gapful number since it is divisible by the number (28) 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 2139165168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318001920).

2139165168 is an abundant number, since it is smaller than the sum of its proper divisors (4496838672).

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

2139165168 is a wasteful number, since it uses less digits than its factorization.

2139165168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29395 (or 29382 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 2139165168 is about 46251.1099110065. The cubic root of 2139165168 is about 1288.4911485420.

The spelling of 2139165168 in words is "two billion, one hundred thirty-nine million, one hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 29339 36456 58678 72912 88017 117356 176034 205373 234712 352068 410746 469424 616119 704136 821492 909509 1232238 1408272 1437611 1642984 1819018 2464476 2728527 2875222 3285968 3638036 4312833 4928952 5457054 5750444 6366563 7276072 8625666 9857904 10914108 11500888 12733126 14552144 17251332 19099689 21828216 23001776 25466252 34502664 38199378 43656432 44565941 50932504 69005328 76398756 89131882 101865008 133697823 152797512 178263764 267395646 305595024 356527528 534791292 713055056 1069582584 2139165168