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3682543668276 = 22311196427228461
BaseRepresentation
bin110101100101101000101…
…101010000110000110100
3111001001021210121010211110
4311211220231100300310
5440313322134341101
611455423123035020
7530024602466154
oct65455055206064
914031253533743
103682543668276
11119a837995a40
124b585050ba70
132093545a0a75
14ca343a92764
1565bd1034cd6
hex35968b50c34

3682543668276 has 96 divisors (see below), whose sum is σ = 9868681105920. Its totient is φ = 1057020451200.

The previous prime is 3682543668239. The next prime is 3682543668301. The reversal of 3682543668276 is 6728663452863.

It is a super-2 number, since 2×36825436682762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16004686 + ... + 16233146.

It is an arithmetic number, because the mean of its divisors is an integer number (102798761520).

Almost surely, 23682543668276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682543668276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934340552960).

3682543668276 is an abundant number, since it is smaller than the sum of its proper divisors (6186137437644).

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

3682543668276 is a wasteful number, since it uses less digits than its factorization.

3682543668276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234925 (or 234923 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 66.

The spelling of 3682543668276 in words is "three trillion, six hundred eighty-two billion, five hundred forty-three million, six hundred sixty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 6427 12854 19281 25708 38562 70697 77124 122113 141394 212091 228461 244226 282788 366339 424182 456922 488452 685383 732678 848364 913844 1343243 1370766 1465356 2513071 2686486 2741532 4029729 4340759 5026142 5372972 7539213 8059458 8681518 10052284 13022277 15078426 16118916 17363036 26044554 30156852 47748349 52089108 95496698 143245047 190993396 286490094 572980188 1468318847 2936637694 4404956541 5873275388 8809913082 16151507317 17619826164 27898058093 32303014634 48454521951 55796116186 64606029268 83694174279 96909043902 111592232372 167388348558 193818087804 306878639023 334776697116 613757278046 920635917069 1227514556092 1841271834138 3682543668276