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382661535060 = 223257317958043
BaseRepresentation
bin1011001000110000110…
…01111010010101010100
31100120201100012002110200
411210120121322111110
522232142323110220
6451443044420500
736434465244360
oct5443031722524
91316640162420
10382661535060
11138316508032
12621b46a7730
132a1144a022c
141474157a2a0
159e49665890
hex591867a554

382661535060 has 144 divisors (see below), whose sum is σ = 1330746109056. Its totient is φ = 87189486336.

The previous prime is 382661535041. The next prime is 382661535119. The reversal of 382661535060 is 60535166283.

382661535060 is a `hidden beast` number, since 3 + 8 + 26 + 615 + 3 + 5 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 382661534997 and 382661535015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79602 + ... + 878441.

It is an arithmetic number, because the mean of its divisors is an integer number (9241292424).

Almost surely, 2382661535060 is an apocalyptic number.

382661535060 is a gapful number since it is divisible by the number (30) 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 382661535060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665373054528).

382661535060 is an abundant number, since it is smaller than the sum of its proper divisors (948084573996).

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

382661535060 is a wasteful number, since it uses less digits than its factorization.

382661535060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958382 (or 958377 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 382661535060 in words is "three hundred eighty-two billion, six hundred sixty-one million, five hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 317 420 630 634 951 1260 1268 1585 1902 2219 2853 3170 3804 4438 4755 5706 6340 6657 8876 9510 11095 11412 13314 14265 19020 19971 22190 26628 28530 33285 39942 44380 57060 66570 79884 99855 133140 199710 399420 958043 1916086 2874129 3832172 4790215 5748258 6706301 8622387 9580430 11496516 13412602 14370645 17244774 19160860 20118903 26825204 28741290 33531505 34489548 40237806 43111935 57482580 60356709 67063010 80475612 86223870 100594515 120713418 134126020 172447740 201189030 241426836 301783545 303699631 402378060 603567090 607399262 911098893 1207134180 1214798524 1518498155 1822197786 2125897417 2733296679 3036996310 3644395572 4251794834 4555494465 5466593358 6073992620 6377692251 8503589668 9110988930 10629487085 10933186716 12755384502 13666483395 18221977860 19133076753 21258974170 25510769004 27332966790 31888461255 38266153506 42517948340 54665933580 63776922510 76532307012 95665383765 127553845020 191330767530 382661535060