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4136013351225 = 35527266336523
BaseRepresentation
bin111100001011111101100…
…110110100100100111001
3112122101202212210211200000
4330023331212310210321
51020231023404214400
612444020332103213
7604550160263520
oct74137546644471
915571685724600
104136013351225
111355089790558
12569706604b09
13240041762052
141042812d14b7
15728c1be2600
hex3c2fd9b4939

4136013351225 has 144 divisors (see below), whose sum is σ = 8783459822592. Its totient is φ = 1889987204160.

The previous prime is 4136013351193. The next prime is 4136013351241. The reversal of 4136013351225 is 5221533106314.

4136013351225 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 0 + 133 + 512 + 2 + 5 = 666.

It is not a de Polignac number, because 4136013351225 - 25 = 4136013351193 is a prime.

It is a super-2 number, since 2×41360133512252 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4136013351225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113225814 + ... + 113262336.

It is an arithmetic number, because the mean of its divisors is an integer number (60996248768).

Almost surely, 24136013351225 is an apocalyptic number.

4136013351225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4136013351225 is an abundant number, since it is smaller than the sum of its proper divisors (4647446471367).

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

4136013351225 is a wasteful number, since it uses less digits than its factorization.

4136013351225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39218 (or 39201 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 4136013351225 its reverse (5221533106314), we get a palindrome (9357546457539).

The spelling of 4136013351225 in words is "four trillion, one hundred thirty-six billion, thirteen million, three hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2663 2835 4725 6075 7989 8505 13315 14175 18641 23967 36523 39945 42525 55923 66575 71901 93205 109569 119835 167769 182615 199725 215703 255661 279615 328707 359505 466025 503307 547845 599175 647109 766983 838845 913075 986121 1078515 1278305 1398075 1509921 1643535 1797525 2300949 2516535 2739225 2958363 3235545 3834915 4194225 4529763 4930605 5392575 6391525 6902847 7549605 8217675 8875089 11504745 12582675 14791815 16177725 19174575 20708541 22648815 24653025 34514235 37748025 44375445 57523725 62125623 73959075 97260749 103542705 113244075 172571175 221877225 291782247 310628115 486303745 517713525 680825243 875346741 1458911235 1553140575 2042475729 2431518725 2626040223 3404126215 4376733705 6127427187 7294556175 7878120669 10212378645 13130201115 17020631075 18382281561 21883668525 23634362007 30637135935 39390603345 51061893225 55146844683 65651005575 91911407805 118171810035 153185679675 165440534049 196953016725 275734223415 459557039025 590859050175 827202670245 1378671117075 4136013351225