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20331031037436 = 22327257791994381
BaseRepresentation
bin1001001111101101011111…
…11000100000010111111100
32122222121221111202120020200
410213312233320200113330
510131100422421144221
6111123540254043500
74165603621303200
oct447665770402774
978877844676220
1020331031037436
116529383aa0019
1223443591a9590
13b46291c90b52
14504054714b00
15253ccb931426
hex127dafe205fc

20331031037436 has 108 divisors (see below), whose sum is σ = 59793287528520. Its totient is φ = 5807857930560.

The previous prime is 20331031037411. The next prime is 20331031037437. The reversal of 20331031037436 is 63473013013302.

20331031037436 is a `hidden beast` number, since 2 + 0 + 331 + 0 + 310 + 3 + 7 + 4 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20331031037436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331031037437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9196966 + ... + 11191346.

It is an arithmetic number, because the mean of its divisors is an integer number (553641551190).

Almost surely, 220331031037436 is an apocalyptic number.

It is an amenable number.

20331031037436 is an abundant number, since it is smaller than the sum of its proper divisors (39462256491084).

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

20331031037436 is a wasteful number, since it uses less digits than its factorization.

20331031037436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000184 (or 2000172 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 20331031037436 in words is "twenty trillion, three hundred thirty-one billion, thirty-one million, thirty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5779 11558 17337 23116 34674 40453 52011 69348 80906 104022 121359 161812 208044 242718 283171 364077 485436 566342 728154 849513 1132684 1456308 1699026 1994381 2548539 3398052 3988762 5097078 5983143 7977524 10194156 11966286 13960667 17949429 23932572 27921334 35898858 41882001 55842668 71797716 83764002 97724669 125646003 167528004 195449338 251292006 293174007 390898676 502584012 586348014 879522021 1172696028 1759044042 3518088084 11525527799 23051055598 34576583397 46102111196 69153166794 80678694593 103729750191 138306333588 161357389186 207459500382 242036083779 322714778372 414919000764 484072167558 564750862151 726108251337 968144335116 1129501724302 1452216502674 1694252586453 2259003448604 2904433005348 3388505172906 5082757759359 6777010345812 10165515518718 20331031037436