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11151530712 = 2333714949499
BaseRepresentation
bin10100110001010111…
…01101101011011000
31001210011120110022000
422120223231223120
5140314242440322
65042320001000
7543226306230
oct123053555330
931704513260
1011151530712
114802826093
1221b2760160
1310894411aa
1477b076cc0
154540223ac
hex298aedad8

11151530712 has 128 divisors (see below), whose sum is σ = 35640000000. Its totient is φ = 3164704128.

The previous prime is 11151530699. The next prime is 11151530713. The reversal of 11151530712 is 21703515111.

11151530712 is a `hidden beast` number, since 1 + 11 + 51 + 530 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151530713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200539 + ... + 250037.

It is an arithmetic number, because the mean of its divisors is an integer number (278437500).

Almost surely, 211151530712 is an apocalyptic number.

11151530712 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 11151530712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820000000).

11151530712 is an abundant number, since it is smaller than the sum of its proper divisors (24488469288).

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

11151530712 is a wasteful number, since it uses less digits than its factorization.

11151530712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49670 (or 49660 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 11151530712 in words is "eleven billion, one hundred fifty-one million, five hundred thirty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 596 756 894 1043 1192 1341 1512 1788 2086 2682 3129 3576 4023 4172 5364 6258 8046 8344 9387 10728 12516 16092 18774 25032 28161 32184 37548 49499 56322 75096 98998 112644 148497 197996 225288 296994 346493 395992 445491 593988 692986 890982 1039479 1187976 1336473 1385972 1781964 2078958 2672946 2771944 3118437 3563928 4157916 5345892 6236874 7375351 8315832 9355311 10691784 12473748 14750702 18710622 22126053 24947496 29501404 37421244 44252106 51627457 59002808 66378159 74842488 88504212 103254914 132756318 154882371 177008424 199134477 206509828 265512636 309764742 398268954 413019656 464647113 531025272 619529484 796537908 929294226 1239058968 1393941339 1593075816 1858588452 2787882678 3717176904 5575765356 11151530712