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11171070512 = 2472914092441
BaseRepresentation
bin10100110011101100…
…10000001000110000
31001211112100011212022
422121312100020300
5140334243224022
65044254451012
7543554350460
oct123166201060
931745304768
1011171070512
114812861688
1221b9203a68
1310904c2cc4
1477d8c1ba0
15455ad1c42
hex299d90230

11171070512 has 80 divisors (see below), whose sum is σ = 25617556800. Its totient is φ = 4617338880.

The previous prime is 11171070511. The next prime is 11171070517. The reversal of 11171070512 is 21507017111.

It is not an unprimeable number, because it can be changed into a prime (11171070511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575212 + ... + 4577652.

It is an arithmetic number, because the mean of its divisors is an integer number (320219460).

Almost surely, 211171070512 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 11171070512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12808778400).

11171070512 is an abundant number, since it is smaller than the sum of its proper divisors (14446486288).

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

11171070512 is a wasteful number, since it uses less digits than its factorization.

11171070512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 26.

Adding to 11171070512 its reverse (21507017111), we get a palindrome (32678087623).

The spelling of 11171070512 in words is "eleven billion, one hundred seventy-one million, seventy thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1409 1624 2441 2818 3248 4882 5636 9764 9863 11272 17087 19528 19726 22544 34174 39056 39452 40861 68348 70789 78904 81722 136696 141578 157808 163444 273392 283156 286027 326888 495523 566312 572054 653776 991046 1132624 1144108 1982092 2288216 3439369 3964184 4576432 6878738 7928368 13757476 24075583 27514952 48151166 55029904 96302332 99741701 192604664 199483402 385209328 398966804 698191907 797933608 1396383814 1595867216 2792767628 5585535256 11171070512