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3973946999988 = 2237295213131173
BaseRepresentation
bin111001110101000001101…
…100110000010010110100
3112001220110012101011122210
4321311001230300102310
51010102120412444423
612241334523453420
7560052053106630
oct71650154602264
915056405334583
103973946999988
1112a23835320a9
12542216987270
1322a9843892b4
14da4a91addc0
156d588b37b93
hex39d41b304b4

3973946999988 has 96 divisors (see below), whose sum is σ = 10983657404160. Its totient is φ = 1094156743680.

The previous prime is 3973946999987. The next prime is 3973947000007. The reversal of 3973946999988 is 8899996493793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973946999983) by changing a digit.

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, 296431 + ... + 2834742.

It is an arithmetic number, because the mean of its divisors is an integer number (114413097960).

Almost surely, 23973946999988 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 3973946999988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491828702080).

3973946999988 is an abundant number, since it is smaller than the sum of its proper divisors (7009710404172).

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

3973946999988 is a wasteful number, since it uses less digits than its factorization.

3973946999988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131737 (or 3131735 counting only the distinct ones).

The product of its digits is 51426482688, while the sum is 93.

The spelling of 3973946999988 in words is "three trillion, nine hundred seventy-three billion, nine hundred forty-six million, nine hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 521 609 812 1042 1218 1563 2084 2436 3126 3647 6252 7294 10941 14588 15109 21882 30218 43764 45327 60436 90654 105763 181308 211526 317289 423052 634578 1269156 3131173 6262346 9393519 12524692 18787038 21918211 37574076 43836422 65754633 87672844 90804017 131509266 181608034 263018532 272412051 363216068 544824102 635628119 1089648204 1271256238 1631341133 1906884357 2542512476 3262682266 3813768714 4894023399 6525364532 7627537428 9788046798 11419387931 19576093596 22838775862 34258163793 45677551724 47308892857 68516327586 94617785714 137032655172 141926678571 189235571428 283853357142 331162249999 567706714284 662324499998 993486749997 1324648999996 1986973499994 3973946999988