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11225634264 = 23331319210407
BaseRepresentation
bin10100111010001100…
…11001010111011000
31001222100000022021000
422131012121113120
5140442230244024
65053524145000
7545116213455
oct123506312730
931870008230
1011225634264
11484063a199
122213538160
13109b8b8750
14786c4682c
1545a7adcc9
hex29d1995d8

11225634264 has 128 divisors (see below), whose sum is σ = 35348544000. Its totient is φ = 3272234112.

The previous prime is 11225634247. The next prime is 11225634271. The reversal of 11225634264 is 46243652211.

11225634264 is a `hidden beast` number, since 1 + 1 + 2 + 256 + 342 + 64 = 666.

11225634264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51852 + ... + 158555.

It is an arithmetic number, because the mean of its divisors is an integer number (276160500).

Almost surely, 211225634264 is an apocalyptic number.

It is an amenable number.

11225634264 is an abundant number, since it is smaller than the sum of its proper divisors (24122909736).

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

11225634264 is a wasteful number, since it uses less digits than its factorization.

11225634264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210454 (or 210444 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 11225634264 in words is "eleven billion, two hundred twenty-five million, six hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 210407 420814 631221 841628 1262442 1683256 1893663 2524884 2735291 3787326 3997733 5049768 5470582 5680989 7574652 7995466 8205873 10941164 11361978 11993199 15149304 15990932 16411746 21882328 22723956 23986398 24617619 31981864 32823492 35979597 45447912 47972796 49235238 51970529 65646984 71959194 73852857 95945592 98470476 103941058 107938791 143918388 147705714 155911587 196940952 207882116 215877582 287836776 295411428 311823174 415764232 431755164 467734761 590822856 623646348 863510328 935469522 1247292696 1403204283 1870939044 2806408566 3741878088 5612817132 11225634264