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60411143424 = 2831731314783
BaseRepresentation
bin111000010000110010…
…001110010100000000
312202221011020001111110
4320100302032110000
51442210223042144
643430312243320
74236021150402
oct702062162400
9182834201443
1060411143424
1123690574215
12b85b6a0540
1359099a0918
142cd1318b72
1518888b80b9
hexe10c8e500

60411143424 has 144 divisors (see below), whose sum is σ = 170794939392. Its totient is φ = 18890686464.

The previous prime is 60411143413. The next prime is 60411143431. The reversal of 60411143424 is 42434111406.

It is a junction number, because it is equal to n+sod(n) for n = 60411143391 and 60411143400.

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, 4079137 + ... + 4093919.

It is an arithmetic number, because the mean of its divisors is an integer number (1186075968).

Almost surely, 260411143424 is an apocalyptic number.

60411143424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60411143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85397469696).

60411143424 is an abundant number, since it is smaller than the sum of its proper divisors (110383795968).

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

60411143424 is a wasteful number, since it uses less digits than its factorization.

60411143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 60411143424 in words is "sixty billion, four hundred eleven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 313 384 408 544 626 768 816 939 1088 1252 1632 1878 2176 2504 3264 3756 4352 5008 5321 6528 7512 10016 10642 13056 14783 15024 15963 20032 21284 29566 30048 31926 40064 42568 44349 59132 60096 63852 80128 85136 88698 118264 120192 127704 170272 177396 236528 240384 251311 255408 340544 354792 473056 502622 510816 681088 709584 753933 946112 1005244 1021632 1362176 1419168 1507866 1892224 2010488 2043264 2838336 3015732 3784448 4020976 4086528 4627079 5676672 6031464 8041952 9254158 11353344 12062928 13881237 16083904 18508316 24125856 27762474 32167808 37016632 48251712 55524948 64335616 74033264 78660343 96503424 111049896 148066528 157320686 193006848 222099792 235981029 296133056 314641372 444199584 471962058 592266112 629282744 888399168 943924116 1184532224 1258565488 1776798336 1887848232 2517130976 3553596672 3775696464 5034261952 7551392928 10068523904 15102785856 20137047808 30205571712 60411143424