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11157412204304 = 24231091006127647
BaseRepresentation
bin1010001001011100100110…
…0101110100111100010000
31110111122020020111011222022
42202113021211310330100
52430300340011014204
635421351105231012
72231045034635552
oct242271145647420
943448206434868
1011157412204304
113611917352943
12130246a932468
1362c1a7501a02
142a80435034d2
1514536ad775be
hexa25c9974f10

11157412204304 has 80 divisors (see below), whose sum is σ = 22767411363840. Its totient is φ = 5286481390080.

The previous prime is 11157412204247. The next prime is 11157412204313. The reversal of 11157412204304 is 40340221475111.

It is a super-2 number, since 2×111574122043042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403553009 + ... + 403580655.

It is an arithmetic number, because the mean of its divisors is an integer number (284592642048).

Almost surely, 211157412204304 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 11157412204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383705681920).

11157412204304 is an abundant number, since it is smaller than the sum of its proper divisors (11609999159536).

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

11157412204304 is a wasteful number, since it uses less digits than its factorization.

11157412204304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37848 (or 37842 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 11157412204304 its reverse (40340221475111), we get a palindrome (51497633679415).

The spelling of 11157412204304 in words is "eleven trillion, one hundred fifty-seven billion, four hundred twelve million, two hundred four thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 92 109 184 218 368 436 872 1744 2507 5014 10028 10061 20056 20122 27647 40112 40244 55294 80488 110588 160976 221176 231403 442352 462806 635881 925612 1096649 1271762 1851224 2193298 2543524 3013523 3702448 4386596 5087048 6027046 8773192 10174096 12054092 17546384 24108184 25222927 48216368 50445854 69311029 100891708 138622058 201783416 277244116 278156467 403566832 554488232 556312934 1108976464 1112625868 2225251736 4450503472 6397598741 12795197482 25590394964 30319054903 51180789928 60638109806 102361579856 121276219612 242552439224 485104878448 697338262769 1394676525538 2789353051076 5578706102152 11157412204304