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3868133780 = 2257671512731
BaseRepresentation
bin1110011010001111…
…0000100110010100
3100222120120120000002
43212203300212110
530410220240110
61435455310432
7164566410650
oct34643604624
910876516002
103868133780
111705508185
128bb51b418
13498501674
14289a29a60
151798c8aa5
hexe68f0994

3868133780 has 96 divisors (see below), whose sum is σ = 9487951872. Its totient is φ = 1297296000.

The previous prime is 3868133771. The next prime is 3868133783. The reversal of 3868133780 is 873318683.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868133783) 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, 1415015 + ... + 1417745.

It is an arithmetic number, because the mean of its divisors is an integer number (98832832).

Almost surely, 23868133780 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 3868133780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743975936).

3868133780 is an abundant number, since it is smaller than the sum of its proper divisors (5619818092).

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

3868133780 is a wasteful number, since it uses less digits than its factorization.

3868133780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 3868133780 is about 62194.3227312590. The cubic root of 3868133780 is about 1569.7620611191.

The spelling of 3868133780 in words is "three billion, eight hundred sixty-eight million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 151 268 302 335 469 604 670 755 938 1057 1340 1510 1876 2114 2345 2731 3020 4228 4690 5285 5462 9380 10117 10570 10924 13655 19117 20234 21140 27310 38234 40468 50585 54620 70819 76468 95585 101170 141638 182977 191170 202340 283276 354095 365954 382340 412381 708190 731908 824762 914885 1280839 1416380 1649524 1829770 2061905 2561678 2886667 3659540 4123810 5123356 5773334 6404195 8247620 11546668 12808390 14433335 25616780 27629527 28866670 55259054 57733340 110518108 138147635 193406689 276295270 386813378 552590540 773626756 967033445 1934066890 3868133780