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2133002432 = 261129191547
BaseRepresentation
bin111111100100011…
…0000100011000000
312111122121202021002
41333020300203000
513332022034212
6551353351132
7103600135661
oct17710604300
95448552232
102133002432
119a502a330
124b64084a8
1327cba4622
141633db368
15c73d5ac2
hex7f2308c0

2133002432 has 112 divisors (see below), whose sum is σ = 4810475520. Its totient is φ = 929510400.

The previous prime is 2133002411. The next prime is 2133002441. The reversal of 2133002432 is 2342003312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3899183 + ... + 3899729.

Almost surely, 22133002432 is an apocalyptic number.

2133002432 is a gapful number since it is divisible by the number (22) 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 2133002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405237760).

2133002432 is an abundant number, since it is smaller than the sum of its proper divisors (2677473088).

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

2133002432 is a wasteful number, since it uses less digits than its factorization.

2133002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2133002432 is about 46184.4392842438. The cubic root of 2133002432 is about 1287.2526173399.

Adding to 2133002432 its reverse (2342003312), we get a palindrome (4475005744).

The spelling of 2133002432 in words is "two billion, one hundred thirty-three million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 191 232 319 352 382 464 547 638 704 764 928 1094 1276 1528 1856 2101 2188 2552 3056 4202 4376 5104 5539 6017 6112 8404 8752 10208 11078 12034 12224 15863 16808 17504 20416 22156 24068 31726 33616 35008 44312 48136 60929 63452 67232 88624 96272 104477 121858 126904 134464 174493 177248 192544 208954 243716 253808 348986 354496 385088 417908 487432 507616 697972 835816 974864 1015232 1149247 1395944 1671632 1949728 2298494 2791888 3029833 3343264 3899456 4596988 5583776 6059666 6686528 9193976 11167552 12119332 18387952 24238664 33328163 36775904 48477328 66656326 73551808 96954656 133312652 193909312 266625304 533250608 1066501216 2133002432