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869388061140 = 223452918505493
BaseRepresentation
bin11001010011010111001…
…00010000100111010100
310002010001011000110120000
430221223210100213110
5103221001320424030
61503220311211300
7116545150406244
oct14515344204724
93063034013500
10869388061140
11305783994075
121205b0376b30
1363ca16a8211
14301159a7b24
1517934d27860
hexca6b9109d4

869388061140 has 120 divisors (see below), whose sum is σ = 2821347615240. Its totient is φ = 223842431232.

The previous prime is 869388061127. The next prime is 869388061141. The reversal of 869388061140 is 41160883968.

869388061140 is a `hidden beast` number, since 8 + 69 + 388 + 0 + 61 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56599264836 + 812788796304 = 237906^2 + 901548^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869388061141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9205767 + ... + 9299726.

It is an arithmetic number, because the mean of its divisors is an integer number (23511230127).

Almost surely, 2869388061140 is an apocalyptic number.

It is an amenable number.

869388061140 is an abundant number, since it is smaller than the sum of its proper divisors (1951959554100).

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

869388061140 is a wasteful number, since it uses less digits than its factorization.

869388061140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505543 (or 18505532 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 8693880 and 61140, that added together give a triangular number (8755020 = T4184).

The spelling of 869388061140 in words is "eight hundred sixty-nine billion, three hundred eighty-eight million, sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 18505493 37010986 55516479 74021972 92527465 111032958 166549437 185054930 222065916 277582395 333098874 370109860 499648311 536659297 555164790 666197748 832747185 999296622 1073318594 1110329580 1498944933 1609977891 1665494370 1998593244 2146637188 2498241555 2683296485 2997889866 3219955782 3330988740 4829933673 4996483110 5366592970 5995779732 6439911564 7494724665 8049889455 9659867346 9992966220 10733185940 14489801019 14989449330 16099778910 19319734692 24149668365 28979602038 29978898660 32199557820 43469403057 48299336730 57959204076 72449005095 86938806114 96598673460 144898010190 173877612228 217347015285 289796020380 434694030570 869388061140