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11154052404 = 22331110986137
BaseRepresentation
bin10100110001101010…
…10101010100110100
31001210100022120102000
422120311111110310
5140320414134104
65042450015300
7543256611135
oct123065252464
931710276360
1011154052404
114804198730
1221b3577530
131089b14c11
1477b531c8c
1545436e639
hex298d55534

11154052404 has 96 divisors (see below), whose sum is σ = 31836604800. Its totient is φ = 3348967680.

The previous prime is 11154052387. The next prime is 11154052409. The reversal of 11154052404 is 40425045111.

11154052404 is a `hidden beast` number, since 1 + 1 + 15 + 405 + 240 + 4 = 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 (11154052409) 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, 86424 + ... + 172560.

It is an arithmetic number, because the mean of its divisors is an integer number (331631300).

Almost surely, 211154052404 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 11154052404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918302400).

11154052404 is an abundant number, since it is smaller than the sum of its proper divisors (20682552396).

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

11154052404 is a wasteful number, since it uses less digits than its factorization.

11154052404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86270 (or 86262 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11154052404 its reverse (40425045111), we get a palindrome (51579097515).

The spelling of 11154052404 in words is "eleven billion, one hundred fifty-four million, fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10791 11772 14388 21582 32373 43164 64746 86137 129492 172274 258411 344548 516822 775233 947507 1033644 1550466 1895014 2325699 2842521 3100932 3790028 4651398 5685042 8527563 9302796 9388933 11370084 17055126 18777866 25582689 28166799 34110252 37555732 51165378 56333598 84500397 102330756 103278263 112667196 169000794 206556526 253501191 309834789 338001588 413113052 507002382 619669578 929504367 1014004764 1239339156 1859008734 2788513101 3718017468 5577026202 11154052404