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2664004632 = 233712296827
BaseRepresentation
bin1001111011001001…
…0111110000011000
320212122210110100020
42132302113300120
520423441122012
61120202510440
7123005444232
oct23662276030
96778713306
102664004632
111147841123
12624205420
13335bc2903
141b3b43252
15108d24a8c
hex9ec97c18

2664004632 has 64 divisors (see below), whose sum is σ = 6784300800. Its totient is φ = 871543680.

The previous prime is 2664004631. The next prime is 2664004691. The reversal of 2664004632 is 2364004662.

2664004632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2664004593 and 2664004602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664004631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386803 + ... + 393629.

It is an arithmetic number, because the mean of its divisors is an integer number (106004700).

Almost surely, 22664004632 is an apocalyptic number.

It is an amenable number.

2664004632 is an abundant number, since it is smaller than the sum of its proper divisors (4120296168).

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

2664004632 is a wasteful number, since it uses less digits than its factorization.

2664004632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2664004632 is about 51613.9964738248. The cubic root of 2664004632 is about 1386.2609571334.

The spelling of 2664004632 in words is "two billion, six hundred sixty-four million, four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 229 284 426 458 568 687 852 916 1374 1704 1832 2748 5496 6827 13654 16259 20481 27308 32518 40962 48777 54616 65036 81924 97554 130072 163848 195108 390216 484717 969434 1454151 1563383 1938868 2908302 3126766 3877736 4690149 5816604 6253532 9380298 11633208 12507064 18760596 37521192 111000193 222000386 333000579 444000772 666001158 888001544 1332002316 2664004632