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20361310434304 = 210715497183299
BaseRepresentation
bin1001010000100101111001…
…01011001111010000000000
32200002112002201210022001221
410220102330223033100000
510132044430432344204
6111145505030404424
74201025153031160
oct450227453172000
980075081708057
1020361310434304
116540201a16054
12234a1a9800714
13b490a91bbc28
145056c7ccc5a0
1525499ed49654
hex1284bcacf400

20361310434304 has 88 divisors (see below), whose sum is σ = 46520668958400. Its totient is φ = 8725665202176.

The previous prime is 20361310434301. The next prime is 20361310434317. The reversal of 20361310434304 is 40343401316302.

It is a super-4 number, since 4×203613104343044 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20361310434304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20361310434301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110990847 + ... + 111174145.

Almost surely, 220361310434304 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 20361310434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260334479200).

20361310434304 is an abundant number, since it is smaller than the sum of its proper divisors (26159358524096).

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

20361310434304 is a wasteful number, since it uses less digits than its factorization.

20361310434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198823 (or 198805 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 20361310434304 in words is "twenty trillion, three hundred sixty-one billion, three hundred ten million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 15497 30994 61988 108479 123976 183299 216958 247952 366598 433916 495904 733196 867832 991808 1283093 1466392 1735664 1983616 2566186 2932784 3471328 3967232 5132372 5865568 6942656 7934464 10264744 11731136 13885312 15868928 20529488 23462272 27770624 41058976 46924544 55541248 82117952 93849088 111082496 164235904 187698176 328471808 656943616 1313887232 2840584603 5681169206 11362338412 19884092221 22724676824 39768184442 45449353648 79536368884 90898707296 159072737768 181797414592 318145475536 363594829184 636290951072 727189658368 1272581902144 1454379316736 2545163804288 2908758633472 5090327608576 10180655217152 20361310434304