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20124175236568 = 231310113921165323
BaseRepresentation
bin1001001001101100001100…
…10100001111110111011000
32122020212000101002002222121
410210312012110033313120
510114203302330032233
6110444530220231024
74144631552066434
oct444660624176730
978225011062877
1020124175236568
116459684315197
12231024969b474
13b2c9174b6490
144d802dcd19c4
1524d72167892d
hex124d8650fdd8

20124175236568 has 128 divisors (see below), whose sum is σ = 41529445574400. Its totient is φ = 9086551488000.

The previous prime is 20124175236551. The next prime is 20124175236593. The reversal of 20124175236568 is 86563257142102.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308039155 + ... + 308104477.

It is an arithmetic number, because the mean of its divisors is an integer number (324448793550).

Almost surely, 220124175236568 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 20124175236568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764722787200).

20124175236568 is an abundant number, since it is smaller than the sum of its proper divisors (21405270337832).

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

20124175236568 is a wasteful number, since it uses less digits than its factorization.

20124175236568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65793 (or 65789 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 20124175236568 in words is "twenty trillion, one hundred twenty-four billion, one hundred seventy-five million, two hundred thirty-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 139 202 211 278 404 422 556 808 844 1112 1313 1688 1807 2626 2743 3614 5252 5486 7228 10504 10972 14039 14456 21311 21944 28078 29329 42622 56156 58658 65323 85244 112312 117316 130646 170488 182507 234632 261292 277043 365014 381277 522584 554086 730028 762554 849199 1108172 1460056 1525108 1698398 2216344 2962229 3050216 3396796 5924458 6597623 6793592 9079897 11848916 13195246 13783153 18159794 23697832 26390492 27566306 36319588 38508977 52780984 55132612 72639176 77017954 85769099 110265224 118038661 154035908 171538198 179180989 236077322 308071816 343076396 358361978 472154644 686152792 716723956 917069597 944309288 1392098453 1433447912 1834139194 1915858267 2784196906 3668278388 3831716534 5568393812 7336556776 7663433068 11136787624 11921904761 15326866136 18097279889 23843809522 24906157471 36194559778 47687619044 49812314942 72389119556 95375238088 99624629884 144778239112 193501684967 199249259768 387003369934 774006739868 1548013479736 2515521904571 5031043809142 10062087618284 20124175236568