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11008785072 = 24310119911411
BaseRepresentation
bin10100100000010110…
…01011101010110000
31001102012222020002110
422100023023222300
5140021222110242
65020220245320
7536544062205
oct122013135260
931365866073
1011008785072
11473a19918a
1221729a0840
1310659b220c
14766119cac
1544672739c
hex2902cbab0

11008785072 has 80 divisors (see below), whose sum is σ = 28867795200. Its totient is φ = 3614688000.

The previous prime is 11008785071. The next prime is 11008785083. The reversal of 11008785072 is 27058780011.

It is a super-2 number, since 2×110087850722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11008785072.

It is not an unprimeable number, because it can be changed into a prime (11008785071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959047 + ... + 970457.

It is an arithmetic number, because the mean of its divisors is an integer number (360847440).

Almost surely, 211008785072 is an apocalyptic number.

11008785072 is a gapful number since it is divisible by the number (12) 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 11008785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433897600).

11008785072 is an abundant number, since it is smaller than the sum of its proper divisors (17859010128).

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

11008785072 is a wasteful number, since it uses less digits than its factorization.

11008785072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The spelling of 11008785072 in words is "eleven billion, eight million, seven hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 199 202 303 398 404 597 606 796 808 1194 1212 1592 1616 2388 2424 3184 4776 4848 9552 11411 20099 22822 34233 40198 45644 60297 68466 80396 91288 120594 136932 160792 182576 241188 273864 321584 482376 547728 964752 1152511 2270789 2305022 3457533 4541578 4610044 6812367 6915066 9083156 9220088 13624734 13830132 18166312 18440176 27249468 27660264 36332624 54498936 55320528 108997872 229349689 458699378 688049067 917398756 1376098134 1834797512 2752196268 3669595024 5504392536 11008785072