Search a number
-
+
164314146043560 = 23358954151284117
BaseRepresentation
bin100101010111000101011110…
…010011100111011010101000
3210112210021112100121020121110
4211113011132103213122220
5133014110332341343220
61341244513203110320
746416206500456122
oct4527053623473250
9715707470536543
10164314146043560
11483a0268865037
12165192230723a0
13708b9b0272726
142c80bc063c212
1513ee2c486bbe0
hex95715e4e76a8

164314146043560 has 128 divisors (see below), whose sum is σ = 498492077126400. Its totient is φ = 43323826022400.

The previous prime is 164314146043501. The next prime is 164314146043573. The reversal of 164314146043560 is 65340641413461.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578190622 + ... + 578474738.

It is an arithmetic number, because the mean of its divisors is an integer number (3894469352550).

Almost surely, 2164314146043560 is an apocalyptic number.

164314146043560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164314146043560 is an abundant number, since it is smaller than the sum of its proper divisors (334177931082840).

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

164314146043560 is a wasteful number, since it uses less digits than its factorization.

164314146043560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338371 (or 338367 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 164314146043560 in words is "one hundred sixty-four trillion, three hundred fourteen billion, one hundred forty-six million, forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 54151 108302 162453 216604 270755 284117 324906 433208 541510 568234 649812 812265 852351 1083020 1136468 1299624 1420585 1624530 1704702 2166040 2272936 2841170 3249060 3409404 4261755 4819439 5682340 6498120 6818808 8523510 9638878 11364680 14458317 17047020 19277756 24097195 25286413 28916634 34094040 38555512 48194390 50572826 57833268 72291585 75859239 96388780 101145652 115666536 126432065 144583170 151718478 192777560 202291304 252864130 289166340 303436956 379296195 505728260 578332680 606873912 758592390 1011456520 1517184780 3034369560 15385219667 30770439334 46155659001 61540878668 76926098335 92311318002 123081757336 153852196670 184622636004 230778295005 307704393340 369245272008 461556590010 615408786680 923113180020 1369284550363 1846226360040 2738569100726 4107853651089 5477138201452 6846422751815 8215707302178 10954276402904 13692845503630 16431414604356 20539268255445 27385691007260 32862829208712 41078536510890 54771382014520 82157073021780 164314146043560