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638862663440 = 24513760196989
BaseRepresentation
bin10010100101111110010…
…11101001111100010000
32021002000102210220112102
421102333023221330100
540431342320212230
61205253420015532
764104420016541
oct11227713517420
92232012726472
10638862663440
11226a38355871
12a39959915a8
13483241b8951
1422cc77944c8
1511941a96045
hex94bf2e9f10

638862663440 has 80 divisors (see below), whose sum is σ = 1498702670640. Its totient is φ = 253255065600.

The previous prime is 638862663389. The next prime is 638862663451. The reversal of 638862663440 is 44366268836.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9518734096 + 629343929344 = 97564^2 + 793312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 6538466 + ... + 6635454.

It is an arithmetic number, because the mean of its divisors is an integer number (18733783383).

Almost surely, 2638862663440 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 638862663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749351335320).

638862663440 is an abundant number, since it is smaller than the sum of its proper divisors (859840007200).

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

638862663440 is a wasteful number, since it uses less digits than its factorization.

638862663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97740 (or 97734 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 56.

The spelling of 638862663440 in words is "six hundred thirty-eight billion, eight hundred sixty-two million, six hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 601 685 1096 1202 1370 2192 2404 2740 3005 4808 5480 6010 9616 10960 12020 24040 48080 82337 96989 164674 193978 329348 387956 411685 484945 658696 775912 823370 969890 1317392 1551824 1646740 1939780 3293480 3879560 6586960 7759120 13287493 26574986 53149972 58290389 66437465 106299944 116580778 132874930 212599888 233161556 265749860 291451945 466323112 531499720 582903890 932646224 1062999440 1165807780 2331615560 4663231120 7985783293 15971566586 31943133172 39928916465 63886266344 79857832930 127772532688 159715665860 319431331720 638862663440