Search a number
-
+
10863720920 = 23513891911229
BaseRepresentation
bin10100001111000011…
…10011100111011000
31001001010000012111002
422013201303213120
5134222103032140
64553555124132
7533133050513
oct120741634730
931033005432
1010863720920
114675318358
1221322a3648
131041920b40
14750b57d7a
15438b20415
hex2878739d8

10863720920 has 128 divisors (see below), whose sum is σ = 26780544000. Its totient is φ = 3942174720.

The previous prime is 10863720913. The next prime is 10863720937. The reversal of 10863720920 is 2902736801.

10863720920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8838866 + ... + 8840094.

It is an arithmetic number, because the mean of its divisors is an integer number (209223000).

Almost surely, 210863720920 is an apocalyptic number.

10863720920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10863720920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

10863720920 is an abundant number, since it is smaller than the sum of its proper divisors (15916823080).

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

10863720920 is a wasteful number, since it uses less digits than its factorization.

10863720920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10863720920 in words is "ten billion, eight hundred sixty-three million, seven hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 191 260 356 382 445 520 712 764 890 955 1157 1229 1528 1780 1910 2314 2458 2483 3560 3820 4628 4916 4966 5785 6145 7640 9256 9832 9932 11570 12290 12415 15977 16999 19864 23140 24580 24830 31954 33998 46280 49160 49660 63908 67996 79885 84995 99320 109381 127816 135992 159770 169990 218762 220987 234739 319540 339980 437524 441974 469478 546905 639080 679960 875048 883948 938956 1093810 1104935 1173695 1421953 1767896 1877912 2187620 2209870 2347390 2843906 3051607 4375240 4419740 4694780 5687812 6103214 7109765 8839480 9389560 11375624 12206428 14219530 15258035 20891771 24412856 28439060 30516070 41783542 56878120 61032140 83567084 104458855 122064280 167134168 208917710 271593023 417835420 543186046 835670840 1086372092 1357965115 2172744184 2715930230 5431860460 10863720920