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641277772146 = 233114730774821
BaseRepresentation
bin10010101010011110010…
…00100100000101110010
32021022020202021010212000
421111033020210011302
541001314102202041
61210333212114430
764221314061024
oct11251710440562
92238222233760
10641277772146
11227a67647780
12a434a765a16
134861a66455b
1423076428014
1511a33b03bb6
hex954f224172

641277772146 has 128 divisors (see below), whose sum is σ = 1592882565120. Its totient is φ = 189569937600.

The previous prime is 641277772133. The next prime is 641277772199.

It is a happy number.

641277772146 is a `hidden beast` number, since 6 + 412 + 7 + 7 + 7 + 7 + 214 + 6 = 666.

641277772146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6412777721462 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 641277772092 and 641277772101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8533416 + ... + 8608236.

It is an arithmetic number, because the mean of its divisors is an integer number (12444395040).

Almost surely, 2641277772146 is an apocalyptic number.

641277772146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 641277772146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796441282560).

641277772146 is an abundant number, since it is smaller than the sum of its proper divisors (951604792974).

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

641277772146 is a wasteful number, since it uses less digits than its factorization.

641277772146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75197 (or 75191 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 641277772146 in words is "six hundred forty-one billion, two hundred seventy-seven million, seven hundred seventy-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 307 423 517 594 614 846 921 1034 1269 1551 1842 2538 2763 3102 3377 4653 5526 6754 8289 9306 10131 13959 14429 16578 20262 27918 28858 30393 43287 60786 74821 86574 91179 129861 149642 158719 182358 224463 259722 317438 389583 448926 476157 673389 779166 823031 952314 1346778 1428471 1646062 2020167 2469093 2856942 3516587 4040334 4285413 4938186 7033174 7407279 8570826 10549761 14814558 21099522 22221837 22970047 31649283 38682457 44443674 45940094 63298566 68910141 77364914 94947849 116047371 137820282 189895698 206730423 232094742 252670517 348142113 413460846 505341034 620191269 696284226 758011551 1044426339 1079592209 1240382538 1516023102 2088852678 2159184418 2274034653 3238776627 4548069306 6477553254 6822103959 9716329881 11875514299 13644207918 19432659762 23751028598 29148989643 35626542897 58297979286 71253085794 106879628691 213759257382 320638886073 641277772146