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11121672492 = 2233722972469
BaseRepresentation
bin10100101101110011…
…10100000100101100
31001201002101111112000
422112321310010230
5140234122004432
65035332012300
7542414441100
oct122671640454
931632344460
1011121672492
114797992177
1221a4761090
1310831b88c8
14777103900
154515c557c
hex296e7412c

11121672492 has 144 divisors (see below), whose sum is σ = 34698636000. Its totient is φ = 3068005248.

The previous prime is 11121672479. The next prime is 11121672503. The reversal of 11121672492 is 29427612111.

11121672492 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 167 + 2 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117234 + ... + 189702.

It is an arithmetic number, because the mean of its divisors is an integer number (240962750).

Almost surely, 211121672492 is an apocalyptic number.

11121672492 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 11121672492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349318000).

11121672492 is an abundant number, since it is smaller than the sum of its proper divisors (23576963508).

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

11121672492 is a wasteful number, since it uses less digits than its factorization.

11121672492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72525 (or 72510 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 11121672492 in words is "eleven billion, one hundred twenty-one million, six hundred seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 49 54 58 63 84 87 98 108 116 126 147 174 189 196 203 252 261 294 348 378 406 441 522 588 609 756 783 812 882 1044 1218 1323 1421 1566 1764 1827 2436 2646 2842 3132 3654 4263 5292 5481 5684 7308 8526 10962 12789 17052 21924 25578 38367 51156 72469 76734 144938 153468 217407 289876 434814 507283 652221 869628 1014566 1304442 1521849 1956663 2029132 2101601 2608884 3043698 3550981 3913326 4203202 4565547 6087396 6304803 7101962 7826652 8406404 9131094 10652943 12609606 13696641 14203924 14711207 18262188 18914409 21305886 25219212 27393282 29422414 31958829 37828818 42611772 44133621 54786564 56743227 58844828 63917658 75657636 88267242 95876487 102978449 113486454 127835316 132400863 176534484 191752974 205956898 226972908 264801726 308935347 383505948 397202589 411913796 529603452 617870694 794405178 926806041 1235741388 1588810356 1853612082 2780418123 3707224164 5560836246 11121672492