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2132698752 = 27321851301
BaseRepresentation
bin111111100011110…
…0110011010000000
312111122001022200200
41333013212122000
513331432330002
6551343045200
7103564432422
oct17707463200
95448038620
102132698752
119a4942158
124b62a0800
1327cac9332
1416335c812
15c7375b1c
hex7f1e6680

2132698752 has 48 divisors (see below), whose sum is σ = 6137066130. Its totient is φ = 710899200.

The previous prime is 2132698751. The next prime is 2132698793. The reversal of 2132698752 is 2578962312.

2132698752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1532252736 + 600446016 = 39144^2 + 24504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2132698698 and 2132698707.

It is not an unprimeable number, because it can be changed into a prime (2132698751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 924499 + ... + 926802.

Almost surely, 22132698752 is an apocalyptic number.

It is an amenable number.

2132698752 is an abundant number, since it is smaller than the sum of its proper divisors (4004367378).

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

2132698752 is a wasteful number, since it uses less digits than its factorization.

2132698752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851321 (or 1851306 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2132698752 is about 46181.1514797975. The cubic root of 2132698752 is about 1287.1915248282.

The spelling of 2132698752 in words is "two billion, one hundred thirty-two million, six hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1851301 3702602 5553903 7405204 11107806 14810408 16661709 22215612 29620816 33323418 44431224 59241632 66646836 88862448 118483264 133293672 177724896 236966528 266587344 355449792 533174688 710899584 1066349376 2132698752