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20241005652304 = 2417421322154877
BaseRepresentation
bin1001001101000101110011…
…11100111010100101010000
32122200000120111010011021021
410212202321330322211100
510123112034421333204
6111014331205405224
74156235663201413
oct446427174724520
978600514104237
1020241005652304
1164a4187010788
12232aa13a09814
13b3a945b212a8
144dd9542c9b7a
152517ad23d154
hex1268b9f3a950

20241005652304 has 80 divisors (see below), whose sum is σ = 41636140112016. Its totient is φ = 9499430707200.

The previous prime is 20241005652239. The next prime is 20241005652311. The reversal of 20241005652304 is 40325650014202.

It can be written as a sum of positive squares in 8 ways, for example, as 1531505251600 + 18709500400704 = 1237540^2 + 4325448^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 20241005652304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368815714 + ... + 368870590.

Almost surely, 220241005652304 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 20241005652304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20818070056008).

20241005652304 is an abundant number, since it is smaller than the sum of its proper divisors (21395134459712).

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

20241005652304 is a wasteful number, since it uses less digits than its factorization.

20241005652304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58544 (or 58538 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 20241005652304 its reverse (40325650014202), we get a palindrome (60566655666506).

The spelling of 20241005652304 in words is "twenty trillion, two hundred forty-one billion, five million, six hundred fifty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 421 842 1684 3221 3368 6442 6736 7157 12884 14314 25768 28628 51536 54757 54877 57256 109514 109754 114512 219028 219508 438056 439016 876112 878032 932909 1356041 1865818 2712082 3731636 5424164 7463272 10848328 14926544 21696656 23052697 23103217 46105394 46206434 92210788 92412868 176758817 184421576 184825736 353517634 368843152 369651472 392754689 707035268 785509378 1414070536 1571018756 2828141072 3004899889 3142037512 6009799778 6284075024 12019599556 24039199112 48078398224 74415461957 148830923914 297661847828 595323695656 1190647391312 1265062853269 2530125706538 5060251413076 10120502826152 20241005652304