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11010863248 = 24711101107827
BaseRepresentation
bin10100100000100110…
…00111000010010000
31001102100212210210221
422100103013002100
5140022240110443
65020333002424
7536600536060
oct122023070220
931370783727
1011010863248
114740388590
122173623414
13106625c0c8
147664db3a0
154469d7eed
hex2904c7090

11010863248 has 160 divisors (see below), whose sum is σ = 27144834048. Its totient is φ = 4202688000.

The previous prime is 11010863219. The next prime is 11010863273. The reversal of 11010863248 is 84236801011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13313811 + ... + 13314637.

Almost surely, 211010863248 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 11010863248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572417024).

11010863248 is an abundant number, since it is smaller than the sum of its proper divisors (16133970800).

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

11010863248 is a wasteful number, since it uses less digits than its factorization.

11010863248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 11010863248 in words is "eleven billion, ten million, eight hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 107 112 154 176 202 214 308 404 428 616 707 749 808 827 856 1111 1177 1232 1414 1498 1616 1654 1712 2222 2354 2828 2996 3308 4444 4708 5656 5789 5992 6616 7777 8239 8888 9097 9416 10807 11312 11578 11984 13232 15554 16478 17776 18194 18832 21614 23156 31108 32956 36388 43228 46312 62216 63679 65912 72776 75649 83527 86456 88489 92624 118877 124432 127358 131824 145552 151298 167054 172912 176978 237754 254716 302596 334108 353956 475508 509432 584689 605192 619423 668216 707912 832139 918797 951016 973379 1018864 1169378 1210384 1238846 1336432 1415824 1664278 1837594 1902032 1946758 2338756 2477692 3328556 3675188 3893516 4677512 4955384 6431579 6657112 6813653 7350376 7787032 8937389 9355024 9910768 12863158 13314224 13627306 14700752 15574064 17874778 25726316 27254612 35749556 51452632 54509224 62561723 71499112 98311279 102905264 109018448 125123446 142998224 196622558 250246892 393245116 500493784 688178953 786490232 1000987568 1376357906 1572980464 2752715812 5505431624 11010863248