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6974073820 = 2257891075231
BaseRepresentation
bin1100111111010111…
…11110101111011100
3200000000221122202101
412133223332233130
5103240330330240
63112010334444
7334552435510
oct63753765734
920000848671
106974073820
112a5975697a
12142772a424
13871b292cc
144a232c140
152ac3e739a
hex19fafebdc

6974073820 has 96 divisors (see below), whose sum is σ = 17087293440. Its totient is φ = 2341701120.

The previous prime is 6974073793. The next prime is 6974073839. The reversal of 6974073820 is 283704796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330605 + ... + 1335835.

It is an arithmetic number, because the mean of its divisors is an integer number (177992640).

Almost surely, 26974073820 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 6974073820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543646720).

6974073820 is an abundant number, since it is smaller than the sum of its proper divisors (10113219620).

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

6974073820 is a wasteful number, since it uses less digits than its factorization.

6974073820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 6974073820 is about 83510.9203637464. The cubic root of 6974073820 is about 1910.5665945122.

The spelling of 6974073820 in words is "six billion, nine hundred seventy-four million, seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 107 140 178 214 356 428 445 535 623 749 890 1070 1246 1498 1780 2140 2492 2996 3115 3745 5231 6230 7490 9523 10462 12460 14980 19046 20924 26155 36617 38092 47615 52310 66661 73234 95230 104620 133322 146468 183085 190460 266644 333305 366170 465559 559717 666610 732340 931118 1119434 1333220 1862236 2238868 2327795 2798585 3258913 3918019 4655590 5597170 6517826 7836038 9311180 11194340 13035652 15672076 16294565 19590095 32589130 39180190 49814813 65178260 78360380 99629626 199259252 249074065 348703691 498148130 697407382 996296260 1394814764 1743518455 3487036910 6974073820