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20243645414624 = 2523611632766263
BaseRepresentation
bin1001001101001010101110…
…10010110011110011100000
32122200021101110021222102002
410212211113102303303200
510123132441211231444
6111015445144543132
74156361255620442
oct446452722636340
978607343258362
1020243645414624
1164a53110a4235
12232b42ba81aa8
13b3ac769a6828
144ddb24b1c492
152518b4d74d4e
hex1269574b3ce0

20243645414624 has 96 divisors (see below), whose sum is σ = 42528586996224. Its totient is φ = 9464599457280.

The previous prime is 20243645414623. The next prime is 20243645414627. The reversal of 20243645414624 is 42641454634202.

It is a super-2 number, since 2×202436454146242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20243645414623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934917 + ... + 8701179.

It is an arithmetic number, because the mean of its divisors is an integer number (443006114544).

Almost surely, 220243645414624 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 20243645414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21264293498112).

20243645414624 is an abundant number, since it is smaller than the sum of its proper divisors (22284941581600).

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

20243645414624 is a wasteful number, since it uses less digits than its factorization.

20243645414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766520 (or 2766512 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 47.

The spelling of 20243645414624 in words is "twenty trillion, two hundred forty-three billion, six hundred forty-five million, four hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 163 184 244 326 368 488 652 736 976 1304 1403 1952 2608 2806 3749 5216 5612 7498 9943 11224 14996 19886 22448 29992 39772 44896 59984 79544 119968 159088 228689 318176 457378 914756 1829512 2766263 3659024 5532526 7318048 11065052 22130104 44260208 63624049 88520416 127248098 168742043 254496196 337484086 450900869 508992392 674968172 901801738 1017984784 1349936344 1803603476 2035969568 2699872688 3607206952 3881066989 5399745376 7214413904 7762133978 10370719987 14428827808 15524267956 20741439974 27504953009 31048535912 41482879948 55009906018 62097071824 82965759896 110019812036 124194143648 165931519792 220039624072 331863039584 440079248144 632613919207 880158496288 1265227838414 2530455676828 5060911353656 10121822707312 20243645414624