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2133563840 = 26531215077
BaseRepresentation
bin111111100101011…
…1001100111000000
312111200200021100222
41333022321213000
513332143020330
6551413402212
7103604664512
oct17712714700
95450607328
102133563840
119a5383101
124b6639368
13280040015
14163505bb2
15c74970e5
hex7f2b99c0

2133563840 has 56 divisors (see below), whose sum is σ = 5244461952. Its totient is φ = 825891840.

The previous prime is 2133563833. The next prime is 2133563849. The reversal of 2133563840 is 483653312.

It is a self number, because there is not a number n which added to its sum of digits gives 2133563840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133563849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97619 + ... + 117458.

Almost surely, 22133563840 is an apocalyptic number.

2133563840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133563840 is an abundant number, since it is smaller than the sum of its proper divisors (3110898112).

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

2133563840 is a wasteful number, since it uses less digits than its factorization.

2133563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215125 (or 215115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2133563840 is about 46190.5167756326. The cubic root of 2133563840 is about 1287.3655427501.

The spelling of 2133563840 in words is "two billion, one hundred thirty-three million, five hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 215077 430154 860308 1075385 1720616 2150770 3441232 4301540 6667387 6882464 8603080 13334774 13764928 17206160 26669548 33336935 34412320 53339096 66673870 68824640 106678192 133347740 213356384 266695480 426712768 533390960 1066781920 2133563840