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2124432688 = 24775725057
BaseRepresentation
bin111111010100000…
…0100010100110000
312111001111100210011
41332220010110300
513322323321223
6550445544304
7103434244210
oct17650042460
95431440704
102124432688
119a02067a4
124b3575094
1327b193a81
1416220a240
15c679180d
hex7ea04530

2124432688 has 40 divisors (see below), whose sum is σ = 4710503072. Its totient is φ = 909232128.

The previous prime is 2124432683. The next prime is 2124432691. The reversal of 2124432688 is 8862344212.

It is a self number, because there is not a number n which added to its sum of digits gives 2124432688.

It is not an unprimeable number, because it can be changed into a prime (2124432683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72256 + ... + 97312.

Almost surely, 22124432688 is an apocalyptic number.

2124432688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2124432688 is an abundant number, since it is smaller than the sum of its proper divisors (2586070384).

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

2124432688 is a wasteful number, since it uses less digits than its factorization.

2124432688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25823 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 2124432688 is about 46091.5685131240. The cubic root of 2124432688 is about 1285.5263758207.

The spelling of 2124432688 in words is "two billion, one hundred twenty-four million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 757 1514 3028 5299 6056 10598 12112 21196 25057 42392 50114 84784 100228 175399 200456 350798 400912 701596 1403192 2806384 18968149 37936298 75872596 132777043 151745192 265554086 303490384 531108172 1062216344 2124432688