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10893499920 = 2433541123007
BaseRepresentation
bin10100010010100110…
…11001111000010000
31001010012001010121000
422021103121320100
5134302213444140
65000541302000
7533644135662
oct121123317020
931105033530
1010893499920
1146901077a6
122140264900
131047b49354
14754aaa532
1543b553a30
hex2894d9e10

10893499920 has 160 divisors (see below), whose sum is σ = 38437539840. Its totient is φ = 2834058240.

The previous prime is 10893499861. The next prime is 10893499933. The reversal of 10893499920 is 2999439801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27057 + ... + 150063.

It is an arithmetic number, because the mean of its divisors is an integer number (240234624).

Almost surely, 210893499920 is an apocalyptic number.

10893499920 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 10893499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19218769920).

10893499920 is an abundant number, since it is smaller than the sum of its proper divisors (27544039920).

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

10893499920 is a wasteful number, since it uses less digits than its factorization.

10893499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123070 (or 123058 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 10893499920 in words is "ten billion, eight hundred ninety-three million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 44280 88560 123007 246014 369021 492028 615035 738042 984056 1107063 1230070 1476084 1845105 1968112 2214126 2460140 2952168 3321189 3690210 4428252 4920280 5043287 5535315 5904336 6642378 7380420 8856504 9840560 10086574 11070630 13284756 14760840 15129861 16605945 17713008 20173148 22141260 25216435 26569512 29521680 30259722 33211890 40346296 44282520 45389583 50432870 53139024 60519444 66423780 75649305 80692592 88565040 90779166 100865740 121038888 132847560 136168749 151298610 181558332 201731480 226947915 242077776 265695120 272337498 302597220 363116664 403462960 453895830 544674996 605194440 680843745 726233328 907791660 1089349992 1210388880 1361687490 1815583320 2178699984 2723374980 3631166640 5446749960 10893499920