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3706331240472 = 2337192235206867
BaseRepresentation
bin110101111011110010100…
…011101001100000011000
3111010022200121010000100220
4311323302203221200120
5441211031244143342
611514355353200040
7531526225511460
oct65736243514030
914108617100326
103706331240472
1111a99343a8013
124ba38aa00020
1320b675881183
14cb55cdd2ba0
15666245645ec
hex35ef28e9818

3706331240472 has 128 divisors (see below), whose sum is σ = 11196848947200. Its totient is φ = 998718553728.

The previous prime is 3706331240471. The next prime is 3706331240477. The reversal of 3706331240472 is 2740421336073.

3706331240472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706331240471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891618 + ... + 3315249.

It is an arithmetic number, because the mean of its divisors is an integer number (87475382400).

Almost surely, 23706331240472 is an apocalyptic number.

It is an amenable number.

3706331240472 is an abundant number, since it is smaller than the sum of its proper divisors (7490517706728).

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

3706331240472 is a wasteful number, since it uses less digits than its factorization.

3706331240472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207125 (or 5207121 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 3706331240472 in words is "three trillion, seven hundred six billion, three hundred thirty-one million, two hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 223 228 266 399 446 456 532 669 798 892 1064 1338 1561 1596 1784 2676 3122 3192 4237 4683 5352 6244 8474 9366 12488 12711 16948 18732 25422 29659 33896 37464 50844 59318 88977 101688 118636 177954 237272 355908 711816 5206867 10413734 15620601 20827468 31241202 36448069 41654936 62482404 72896138 98930473 109344207 124964808 145792276 197860946 218688414 291584552 296791419 395721892 437376828 593582838 692513311 791443784 874753656 1161131341 1187165676 1385026622 2077539933 2322262682 2374331352 2770053244 3483394023 4155079866 4644525364 5540106488 6966788046 8127919387 8310159732 9289050728 13933576092 16255838774 16620319464 22061495479 24383758161 27867152184 32511677548 44122990958 48767516322 65023355096 66184486437 88245981916 97535032644 132368972874 154430468353 176491963832 195070065288 264737945748 308860936706 463291405059 529475891496 617721873412 926582810118 1235443746824 1853165620236 3706331240472