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2065438752 = 253132337103
BaseRepresentation
bin111101100011100…
…0001100000100000
312022221111011022120
41323013001200200
513212223020002
6540541304240
7102116640216
oct17307014040
95287434276
102065438752
1196a982783
12497865080
1326bba9a10
14158450cb6
15c14dbcbc
hex7b1c1820

2065438752 has 96 divisors (see below), whose sum is σ = 5864721408. Its totient is φ = 632702976.

The previous prime is 2065438741. The next prime is 2065438807. The reversal of 2065438752 is 2578345602.

It is a tau number, because it is divible by the number of its divisors (96).

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, 287233 + ... + 294335.

It is an arithmetic number, because the mean of its divisors is an integer number (61090848).

Almost surely, 22065438752 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 2065438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932360704).

2065438752 is an abundant number, since it is smaller than the sum of its proper divisors (3799282656).

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

2065438752 is a wasteful number, since it uses less digits than its factorization.

2065438752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2065438752 is about 45447.0983892261. The cubic root of 2065438752 is about 1273.5151242753.

The spelling of 2065438752 in words is "two billion, sixty-five million, four hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 233 312 416 466 624 699 932 1248 1398 1864 2796 3029 3728 5592 6058 7103 7456 9087 11184 12116 14206 18174 21309 22368 24232 28412 36348 42618 48464 56824 72696 85236 92339 96928 113648 145392 170472 184678 227296 277017 290784 340944 369356 554034 681888 738712 1108068 1477424 1654999 2216136 2954848 3309998 4432272 4964997 6619996 8864544 9929994 13239992 19859988 21514987 26479984 39719976 43029974 52959968 64544961 79439952 86059948 129089922 158879904 172119896 258179844 344239792 516359688 688479584 1032719376 2065438752