Search a number
-
+
3166346500020 = 22325112416635539
BaseRepresentation
bin101110000100111000111…
…101010101011110110100
3102012200220010120000210100
4232010320331111132310
5403334134201000040
610422333254154100
7444522006114564
oct56047075253664
912180803500710
103166346500020
111010927064280
124317ab052930
1319c77b894682
14ad375654da4
155756d460b30
hex2e138f557b4

3166346500020 has 144 divisors (see below), whose sum is σ = 10521206055360. Its totient is φ = 764413977600.

The previous prime is 3166346500019. The next prime is 3166346500073. The reversal of 3166346500020 is 200056436613.

3166346500020 is a `hidden beast` number, since 3 + 16 + 634 + 6 + 5 + 0 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2840590 + ... + 3794949.

It is an arithmetic number, because the mean of its divisors is an integer number (73063930940).

Almost surely, 23166346500020 is an apocalyptic number.

3166346500020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3166346500020 is an abundant number, since it is smaller than the sum of its proper divisors (7354859555340).

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

3166346500020 is a wasteful number, since it uses less digits than its factorization.

3166346500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635806 (or 6635801 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3166346500020 in words is "three trillion, one hundred sixty-six billion, three hundred forty-six million, five hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 241 330 396 482 495 660 723 964 990 1205 1446 1980 2169 2410 2651 2892 3615 4338 4820 5302 7230 7953 8676 10604 10845 13255 14460 15906 21690 23859 26510 31812 39765 43380 47718 53020 79530 95436 119295 159060 238590 477180 6635539 13271078 19906617 26542156 33177695 39813234 59719851 66355390 72990929 79626468 99533085 119439702 132710780 145981858 199066170 218972787 238879404 291963716 298599255 364954645 398132340 437945574 597198510 656918361 729909290 875891148 1094863935 1194397020 1313836722 1459818580 1599164899 2189727870 2627673444 3198329798 3284591805 4379455740 4797494697 6396659596 6569183610 7995824495 9594989394 13138367220 14392484091 15991648990 17590813889 19189978788 23987473485 28784968182 31983297980 35181627778 47974946970 52772441667 57569936364 70363255556 71962420455 87954069445 95949893940 105544883334 143924840910 158317325001 175908138890 211089766668 263862208335 287849681820 316634650002 351816277780 527724416670 633269300004 791586625005 1055448833340 1583173250010 3166346500020