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387728008640 = 26571710181933
BaseRepresentation
bin1011010010001100110…
…00111110010111000000
31101001210102122121122022
411221012120332113000
522323031332234030
6454041512501012
740004155460360
oct5510630762700
91331712577568
10387728008640
1113a486397685
12631893aa768
132a7410344ab
1414aa23c29a0
15a14434cde5
hex5a4663e5c0

387728008640 has 112 divisors (see below), whose sum is σ = 1117243253952. Its totient is φ = 125115580416.

The previous prime is 387728008637. The next prime is 387728008663. The reversal of 387728008640 is 46800827783.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5052887 + ... + 5129046.

It is an arithmetic number, because the mean of its divisors is an integer number (9975386196).

Almost surely, 2387728008640 is an apocalyptic number.

It is an amenable number.

387728008640 is an abundant number, since it is smaller than the sum of its proper divisors (729515245312).

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

387728008640 is a wasteful number, since it uses less digits than its factorization.

387728008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181974 (or 10181964 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 387728008640 in words is "three hundred eighty-seven billion, seven hundred twenty-eight million, eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 10181933 20363866 40727732 50909665 71273531 81455464 101819330 142547062 162910928 173092861 203638660 285094124 325821856 346185722 356367655 407277320 570188248 651643712 692371444 712735310 814554640 865464305 1140376496 1211650027 1384742888 1425470620 1629109280 1730928610 2280752992 2423300054 2769485776 2850941240 3258218560 3461857220 4561505984 4846600108 5538971552 5701882480 6058250135 6923714440 9693200216 11077943104 11403764960 12116500270 13847428880 19386400432 22807529920 24233000540 27694857760 38772800864 48466001080 55389715520 77545601728 96932002160 193864004320 387728008640