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2129112288 = 253241180311
BaseRepresentation
bin111111011100111…
…1010110011100000
312111101022002222200
41332321322303200
513330023043123
6551134133200
7103522104312
oct17671726340
95441262880
102129112288
119a2912636
124b5051200
1327c141a74
14162aa77b2
15c6db8143
hex7ee7ace0

2129112288 has 72 divisors (see below), whose sum is σ = 6202372176. Its totient is φ = 692390400.

The previous prime is 2129112263. The next prime is 2129112289. The reversal of 2129112288 is 8822119212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129112289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78348 + ... + 101963.

It is an arithmetic number, because the mean of its divisors is an integer number (86144058).

Almost surely, 22129112288 is an apocalyptic number.

It is an amenable number.

2129112288 is an abundant number, since it is smaller than the sum of its proper divisors (4073259888).

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

2129112288 is a wasteful number, since it uses less digits than its factorization.

2129112288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180368 (or 180357 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 2129112288 is about 46142.3047538807. The cubic root of 2129112288 is about 1286.4695825397.

The spelling of 2129112288 in words is "two billion, one hundred twenty-nine million, one hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 180311 360622 540933 721244 1081866 1442488 1622799 2163732 2884976 3245598 4327464 5769952 6491196 7392751 8654928 12982392 14785502 17309856 22178253 25964784 29571004 44356506 51929568 59142008 66534759 88713012 118284016 133069518 177426024 236568032 266139036 354852048 532278072 709704096 1064556144 2129112288