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352084600980 = 223257239918889
BaseRepresentation
bin1010001111110011110…
…00001010100010010100
31020122210101021220022200
411013321320022202110
521232032124212410
6425425002524500
734302661505100
oct5077170124224
91218711256280
10352084600980
1112635563a982
12582a0506730
1327280727328
1413080670900
15925a0783c0
hex51f9e0a894

352084600980 has 108 divisors (see below), whose sum is σ = 1242355694580. Its totient is φ = 80476478208.

The previous prime is 352084600939. The next prime is 352084601009. The reversal of 352084600980 is 89006480253.

352084600980 is a `hidden beast` number, since 3 + 520 + 8 + 46 + 0 + 0 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276242745744 + 75841855236 = 525588^2 + 275394^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19950625 + ... + 19968264.

Almost surely, 2352084600980 is an apocalyptic number.

352084600980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352084600980 is an abundant number, since it is smaller than the sum of its proper divisors (890271093600).

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

352084600980 is a wasteful number, since it uses less digits than its factorization.

352084600980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39918918 (or 39918906 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 352084600980 in words is "three hundred fifty-two billion, eighty-four million, six hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 39918889 79837778 119756667 159675556 199594445 239513334 279432223 359270001 399188890 479026668 558864446 598783335 718540002 798377780 838296669 1117728892 1197566670 1397161115 1437080004 1676593338 1796350005 1956025561 2395133340 2514890007 2794322230 3353186676 3592700010 3912051122 4191483345 5029780014 5588644460 5868076683 7185400020 7824102244 8382966690 9780127805 10059560028 11736153366 12574450035 16765933380 17604230049 19560255610 23472306732 25148900070 29340383415 35208460098 39120511220 50297800140 58680766830 70416920196 88021150245 117361533660 176042300490 352084600980