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32013860928 = 263774332059
BaseRepresentation
bin11101110100001011…
…001100000001000000
310001122002201122012220
4131310023030001000
51011031022022203
622412412051040
72212222220340
oct356413140100
9101562648186
1032013860928
1112638a98605
126255463a80
13303268349a
141799ab0d20
15c75828653
hex7742cc040

32013860928 has 112 divisors (see below), whose sum is σ = 96937128960. Its totient is φ = 9134221824.

The previous prime is 32013860917. The next prime is 32013860933. The reversal of 32013860928 is 82906831023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 32013860928.

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, 982563 + ... + 1014621.

It is an arithmetic number, because the mean of its divisors is an integer number (865510080).

Almost surely, 232013860928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48468564480).

32013860928 is an abundant number, since it is smaller than the sum of its proper divisors (64923268032).

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

32013860928 is a wasteful number, since it uses less digits than its factorization.

32013860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32824 (or 32814 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 32013860928 in words is "thirty-two billion, thirteen million, eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 743 1344 1486 2229 2972 4458 5201 5944 8916 10402 11888 15603 17832 20804 23776 31206 32059 35664 41608 47552 62412 64118 71328 83216 96177 124824 128236 142656 166432 192354 224413 249648 256472 332864 384708 448826 499296 512944 673239 769416 897652 998592 1025888 1346478 1538832 1795304 2051776 2692956 3077664 3590608 5385912 6155328 7181216 10771824 14362432 21543648 23819837 43087296 47639674 71459511 95279348 142919022 166738859 190558696 285838044 333477718 381117392 500216577 571676088 666955436 762234784 1000433154 1143352176 1333910872 1524469568 2000866308 2286704352 2667821744 4001732616 4573408704 5335643488 8003465232 10671286976 16006930464 32013860928