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2075795136 = 263223315467
BaseRepresentation
bin111101110111010…
…0001111011000000
312100122222022121100
41323232201323000
513222400421021
6541551254400
7102303652602
oct17356417300
95318868540
102075795136
11975806678
1249b21a400
1327109485c
14159989172
15c2385626
hex7bba1ec0

2075795136 has 84 divisors (see below), whose sum is σ = 5975814312. Its totient is φ = 688917504.

The previous prime is 2075795129. The next prime is 2075795173. The reversal of 2075795136 is 6315975702.

2075795136 is a `hidden beast` number, since 20 + 7 + 579 + 51 + 3 + 6 = 666.

It is a super-3 number, since 3×20757951363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2075795091 and 2075795100.

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 11 ways as a sum of consecutive naturals, for example, 126475 + ... + 141941.

Almost surely, 22075795136 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 2075795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987907156).

2075795136 is an abundant number, since it is smaller than the sum of its proper divisors (3900019176).

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

2075795136 is a wasteful number, since it uses less digits than its factorization.

2075795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718 (or 15705 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 2075795136 is about 45560.8948112304. The cubic root of 2075795136 is about 1275.6401011964.

The spelling of 2075795136 in words is "two billion, seventy-five million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 14912 15467 16776 22368 30934 33552 44736 46401 61868 67104 92802 123736 134208 139203 185604 247472 278406 371208 494944 556812 742416 989888 1113624 1484832 2227248 2969664 3603811 4454496 7207622 8908992 10811433 14415244 21622866 28830488 32434299 43245732 57660976 64868598 86491464 115321952 129737196 172982928 230643904 259474392 345965856 518948784 691931712 1037897568 2075795136