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11541422320 = 24519291072447
BaseRepresentation
bin10101011111110110…
…00010000011110000
31002210100020000000221
422233323002003300
5142114101003240
65145124422424
7556002320401
oct125773020360
932710200027
1011541422320
11499291745a
1222a1247a14
13111c15379c
147b6b699a8
1547838aa4a
hex2afec20f0

11541422320 has 160 divisors (see below), whose sum is σ = 29505254400. Its totient is φ = 4181603328.

The previous prime is 11541422317. The next prime is 11541422327. The reversal of 11541422320 is 2322414511.

11541422320 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 not an unprimeable number, because it can be changed into a prime (11541422327) by changing a digit.

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, 4715337 + ... + 4717783.

It is an arithmetic number, because the mean of its divisors is an integer number (184407840).

Almost surely, 211541422320 is an apocalyptic number.

11541422320 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 11541422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752627200).

11541422320 is an abundant number, since it is smaller than the sum of its proper divisors (17963832080).

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

11541422320 is a wasteful number, since it uses less digits than its factorization.

11541422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11541422320 its reverse (2322414511), we get a palindrome (13863836831).

The spelling of 11541422320 in words is "eleven billion, five hundred forty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 107 116 145 152 190 214 232 290 304 380 428 464 535 551 580 760 856 1070 1102 1160 1520 1712 2033 2140 2204 2320 2447 2755 3103 4066 4280 4408 4894 5510 6206 8132 8560 8816 9788 10165 11020 12235 12412 15515 16264 19576 20330 22040 24470 24824 31030 32528 39152 40660 44080 46493 48940 49648 58957 62060 70963 81320 92986 97880 117914 124120 141926 162640 185972 195760 232465 235828 248240 261829 283852 294785 354815 371944 464930 471656 523658 567704 589570 709630 743888 929860 943312 1047316 1135408 1179140 1309145 1348297 1419260 1859720 2094632 2358280 2618290 2696594 2838520 3719440 4189264 4716560 4974751 5236580 5393188 5677040 6741485 7593041 9949502 10473160 10786376 13482970 15186082 19899004 20946320 21572752 24873755 26965940 30372164 37965205 39798008 49747510 53931880 60744328 75930410 79596016 99495020 107863760 121488656 144267779 151860820 198990040 288535558 303721640 397980080 577071116 607443280 721338895 1154142232 1442677790 2308284464 2885355580 5770711160 11541422320