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60205611072 = 2632323995683
BaseRepresentation
bin111000000100100010…
…001011100001000000
312202101211110221010010
4320010202023201000
51441300114023242
643354051104520
74230644151615
oct700442134100
9182354427103
1060205611072
1123595552772
12b8028a2140
1358a622a449
142cb1cd650c
15187581989c
hexe0488b840

60205611072 has 112 divisors (see below), whose sum is σ = 166318387200. Its totient is φ = 19184613888.

The previous prime is 60205611007. The next prime is 60205611079. The reversal of 60205611072 is 27011650206.

It is not an unprimeable number, because it can be changed into a prime (60205611079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10591143 + ... + 10596825.

It is an arithmetic number, because the mean of its divisors is an integer number (1484985600).

Almost surely, 260205611072 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 60205611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83159193600).

60205611072 is an abundant number, since it is smaller than the sum of its proper divisors (106112776128).

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

60205611072 is a wasteful number, since it uses less digits than its factorization.

60205611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 60205611072 in words is "sixty billion, two hundred five million, six hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2399 4416 4798 5683 7197 9596 11366 14394 17049 19192 22732 28788 34098 38384 45464 55177 57576 68196 76768 90928 110354 115152 130709 136392 153536 165531 181856 220708 230304 261418 272784 331062 363712 392127 441416 460608 522836 545568 662124 784254 882832 1045672 1091136 1324248 1568508 1765664 2091344 2648496 3137016 3531328 4182688 5296992 6274032 8365376 10593984 12548064 13633517 25096128 27267034 40900551 54534068 81801102 109068136 163602204 218136272 313570891 327204408 436272544 627141782 654408816 872545088 940712673 1254283564 1308817632 1881425346 2508567128 2617635264 3762850692 5017134256 7525701384 10034268512 15051402768 20068537024 30102805536 60205611072