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11145212460 = 22325471317401
BaseRepresentation
bin10100110000100111…
…00111001000101100
31001202201200110021200
422120103213020230
5140311133244320
65041532325500
7543121512534
oct123023471054
931681613250
1011145212460
1147aa200098
1221b0613890
13108803b395
1477a2b04c4
154536c5290
hex2984e722c

11145212460 has 72 divisors (see below), whose sum is σ = 34526471616. Its totient is φ = 2908819200.

The previous prime is 11145212443. The next prime is 11145212467. The reversal of 11145212460 is 6421254111.

11145212460 is a `hidden beast` number, since 1 + 114 + 521 + 24 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11145212467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650241 + ... + 667160.

It is an arithmetic number, because the mean of its divisors is an integer number (479534328).

Almost surely, 211145212460 is an apocalyptic number.

11145212460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145212460 is an abundant number, since it is smaller than the sum of its proper divisors (23381259156).

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

11145212460 is a wasteful number, since it uses less digits than its factorization.

11145212460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317463 (or 1317458 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11145212460 its reverse (6421254111), we get a palindrome (17566466571).

The spelling of 11145212460 in words is "eleven billion, one hundred forty-five million, two hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 1317401 2634802 3952203 5269604 6587005 7904406 11856609 13174010 15808812 19761015 23713218 26348020 39522030 47426436 59283045 61917847 79044060 118566090 123835694 185753541 237132180 247671388 309589235 371507082 557260623 619178470 743014164 928767705 1114521246 1238356940 1857535410 2229042492 2786303115 3715070820 5572606230 11145212460