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65565050144 = 2511439744657
BaseRepresentation
bin111101000011111110…
…110100010100100000
320021020100012122101112
4331003332310110200
52033234123101034
650041542322452
74510522505456
oct750376642440
9207210178345
1065565050144
1125895841660
1210859729428
13624b698679
14325da009d6
151a8b0c17ce
hexf43fb4520

65565050144 has 96 divisors (see below), whose sum is σ = 145579363776. Its totient is φ = 28808478720.

The previous prime is 65565050141. The next prime is 65565050249. The reversal of 65565050144 is 44105056556.

65565050144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65565050141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445864 + ... + 1490520.

It is an arithmetic number, because the mean of its divisors is an integer number (1516451706).

Almost surely, 265565050144 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 65565050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72789681888).

65565050144 is an abundant number, since it is smaller than the sum of its proper divisors (80014313632).

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

65565050144 is a wasteful number, since it uses less digits than its factorization.

65565050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44818 (or 44810 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 65565050144 in words is "sixty-five billion, five hundred sixty-five million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 97 172 176 194 344 352 388 473 688 776 946 1067 1376 1552 1892 2134 3104 3784 4171 4268 7568 8342 8536 15136 16684 17072 33368 34144 44657 45881 66736 89314 91762 133472 178628 183524 357256 367048 491227 714512 734096 982454 1429024 1468192 1920251 1964908 3840502 3929816 4331729 7681004 7859632 8663458 15362008 15719264 17326916 21122761 30724016 34653832 42245522 47649019 61448032 69307664 84491044 95298038 138615328 168982088 186264347 190596076 337964176 372528694 381192152 675928352 745057388 762384304 1490114776 1524768608 2048907817 2980229552 4097815634 5960459104 8195631268 16391262536 32782525072 65565050144