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2129989568 = 267171491877
BaseRepresentation
bin111111011110101…
…0000111111000000
312111102221200101112
41332331100333000
513330234131233
6551205022452
7103532420060
oct17675207700
95442850345
102129989568
119a3361763
124b53b4a28
1327c38b175
14162c553a0
15c6edd048
hex7ef50fc0

2129989568 has 112 divisors (see below), whose sum is σ = 5151729600. Its totient is φ = 852934656.

The previous prime is 2129989567. The next prime is 2129989573. The reversal of 2129989568 is 8659899212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129989567) 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, 1133846 + ... + 1135722.

Almost surely, 22129989568 is an apocalyptic number.

2129989568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575864800).

2129989568 is an abundant number, since it is smaller than the sum of its proper divisors (3021740032).

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

2129989568 is a wasteful number, since it uses less digits than its factorization.

2129989568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2052 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 59.

The square root of 2129989568 is about 46151.8100186764. The cubic root of 2129989568 is about 1286.6462507014.

The spelling of 2129989568 in words is "two billion, one hundred twenty-nine million, nine hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 149 224 238 272 298 448 476 544 596 952 1043 1088 1192 1877 1904 2086 2384 2533 3754 3808 4172 4768 5066 7508 7616 8344 9536 10132 13139 15016 16688 17731 20264 26278 30032 31909 33376 35462 40528 52556 60064 63818 66752 70924 81056 105112 120128 127636 141848 162112 210224 223363 255272 279673 283696 420448 446726 510544 559346 567392 840896 893452 1021088 1118692 1134784 1786904 1957711 2042176 2237384 3573808 3915422 4474768 4754441 7147616 7830844 8949536 9508882 14295232 15661688 17899072 19017764 31323376 33281087 38035528 62646752 66562174 76071056 125293504 133124348 152142112 266248696 304284224 532497392 1064994784 2129989568