Search a number
-
+
169375737385660 = 2251321491028932687
BaseRepresentation
bin100110100000101111011100…
…101010010001001010111100
3211012201011101100200201202011
4212200233130222101022330
5134200023002232320120
61400122050051541004
750450664445136311
oct4640573452211274
9735634340621664
10169375737385660
1149a71935157513
1216bb619b8ba764
1373680a9687c00
142db7b87d56d08
15148acb937ec5a
hex9a0bdca912bc

169375737385660 has 144 divisors (see below), whose sum is σ = 387788890608000. Its totient is φ = 62111073103872.

The previous prime is 169375737385651. The next prime is 169375737385709. The reversal of 169375737385660 is 66583737573961.

It is a happy number.

It is a super-2 number, since 2×1693757373856602 (a number of 29 digits) contains 22 as substring.

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, 5181729837 + ... + 5181762523.

It is an arithmetic number, because the mean of its divisors is an integer number (2692978407000).

Almost surely, 2169375737385660 is an apocalyptic number.

169375737385660 is a gapful number since it is divisible by the number (10) 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 169375737385660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193894445304000).

169375737385660 is an abundant number, since it is smaller than the sum of its proper divisors (218413153222340).

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

169375737385660 is a wasteful number, since it uses less digits than its factorization.

169375737385660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43160 (or 43145 counting only the distinct ones).

The product of its (nonzero) digits is 3600676800, while the sum is 76.

The spelling of 169375737385660 in words is "one hundred sixty-nine trillion, three hundred seventy-five billion, seven hundred thirty-seven million, three hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 169 260 298 338 596 676 745 845 1490 1690 1937 2980 3380 3874 7748 9685 10289 19370 20578 25181 32687 38740 41156 50362 51445 65374 100724 102890 125905 130748 133757 163435 205780 251810 267514 326870 424931 503620 535028 653740 668785 849862 1337570 1533061 1699724 1738841 2124655 2675140 3066122 3477682 4249310 4870363 5524103 6132244 6955364 7665305 8498620 8694205 9740726 11048206 15330610 17388410 19481452 19929793 22096412 24351815 27620515 30661220 34776820 39859586 48703630 55241030 63314719 79719172 97407260 99648965 110482060 126629438 199297930 253258876 259087309 316573595 336316543 398595860 518174618 633147190 672633086 823091347 1036349236 1266294380 1295436545 1345266172 1646182694 1681582715 2590873090 3292365388 3363165430 4115456735 4372115059 5181746180 6726330860 8230913470 8744230118 16461826940 17488460236 21860575295 43721150590 50111164907 56837495767 87442301180 100222329814 113674991534 200444659628 227349983068 250555824535 284187478835 501111649070 568374957670 651445143791 1002223298140 1136749915340 1302890287582 2605780575164 3257225718955 6514451437910 8468786869283 13028902875820 16937573738566 33875147477132 42343934346415 84687868692830 169375737385660