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3522874680 = 233451383639
BaseRepresentation
bin1101000111111010…
…1100110100111000
3100002111220120120000
43101332230310320
524203323442210
61341323233000
7153204640443
oct32176546470
910074816500
103522874680
111548630986
12823978760
13441b18340
14255c3465a
15159429ac0
hexd1facd38

3522874680 has 160 divisors (see below), whose sum is σ = 12751754400. Its totient is φ = 867158784.

The previous prime is 3522874679. The next prime is 3522874727. The reversal of 3522874680 is 864782253.

3522874680 is a `hidden beast` number, since 3 + 522 + 8 + 7 + 46 + 80 = 666.

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 39 ways as a sum of consecutive naturals, for example, 301 + ... + 83939.

It is an arithmetic number, because the mean of its divisors is an integer number (79698465).

Almost surely, 23522874680 is an apocalyptic number.

3522874680 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 3522874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375877200).

3522874680 is an abundant number, since it is smaller than the sum of its proper divisors (9228879720).

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

3522874680 is a wasteful number, since it uses less digits than its factorization.

3522874680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83675 (or 83662 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3522874680 is about 59353.8093133036. The cubic root of 3522874680 is about 1521.5949728162.

The spelling of 3522874680 in words is "three billion, five hundred twenty-two million, eight hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 83639 167278 250917 334556 418195 501834 669112 752751 836390 1003668 1087307 1254585 1505502 1672780 2007336 2174614 2258253 2509170 3011004 3261921 3345560 3763755 4349228 4516506 5018340 5436535 6022008 6523842 6774759 7527510 8698456 9033012 9785763 10036680 10873070 11291265 13047684 13549518 15055020 16309605 18066024 19571526 21746140 22582530 26095368 27099036 29357289 30110040 32619210 33873795 39143052 43492280 45165060 48928815 54198072 58714578 65238420 67747590 78286104 88071867 90330120 97857630 117429156 130476840 135495180 146786445 176143734 195715260 234858312 270990360 293572890 352287468 391430520 440359335 587145780 704574936 880718670 1174291560 1761437340 3522874680