Search a number
-
+
4600805000022 = 2337111577047737
BaseRepresentation
bin100001011110011010101…
…0110010000001101010110
3121021211111000021222212000
41002330311112100031112
51100334422040000042
613441325230140130
7653253144151020
oct102746526201526
917254430258760
104600805000022
111514210530640
12623800351646
13274b144698ca
1411c974491010
157ea2683b74c
hex42f35590356

4600805000022 has 128 divisors (see below), whose sum is σ = 12828010798080. Its totient is φ = 1187402561280.

The previous prime is 4600805000009. The next prime is 4600805000047. The reversal of 4600805000022 is 2200005080064.

4600805000022 is a `hidden beast` number, since 4 + 60 + 0 + 80 + 500 + 0 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4600805000022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2871063 + ... + 4176674.

It is an arithmetic number, because the mean of its divisors is an integer number (100218834360).

Almost surely, 24600805000022 is an apocalyptic number.

4600805000022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4600805000022 is an abundant number, since it is smaller than the sum of its proper divisors (8227205798058).

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

4600805000022 is a wasteful number, since it uses less digits than its factorization.

4600805000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047923 (or 7047917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 4600805000022 in words is "four trillion, six hundred billion, eight hundred five million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 157 189 198 231 297 314 378 462 471 594 693 942 1099 1386 1413 1727 2079 2198 2826 3297 3454 4158 4239 5181 6594 8478 9891 10362 12089 15543 19782 24178 29673 31086 36267 46629 59346 72534 93258 108801 217602 326403 652806 7047737 14095474 21143211 42286422 49334159 63429633 77525107 98668318 126859266 148002477 155050214 190288899 232575321 296004954 380577798 444007431 465150642 542675749 697725963 888014862 1085351498 1106494709 1332022293 1395451926 1628027247 2093177889 2212989418 2664044586 3256054494 3319484127 4186355778 4884081741 6638968254 7745462963 9768163482 9958452381 12171441799 14652245223 15490925926 19916904762 23236388889 24342883598 29304490446 29875357143 36514325397 46472777778 59750714286 69709166667 73028650794 85200092593 109542976191 139418333334 170400185186 209127500001 219085952382 255600277779 328628928573 418255000002 511200555558 657257857146 766800833337 1533601666674 2300402500011 4600805000022