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20428693520 = 2451669153001
BaseRepresentation
bin10011000001101001…
…010010000000010000
31221201201012011012112
4103001221102000100
5313314221143040
613215041444452
71322146013144
oct230151220020
957651164175
1020428693520
118733512894
123b61640728
131c07454641
14dbb1d9224
157e86eb365
hex4c1a52010

20428693520 has 40 divisors (see below), whose sum is σ = 47525481240. Its totient is φ = 8166528000.

The previous prime is 20428693517. The next prime is 20428693531. The reversal of 20428693520 is 2539682402.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 20404408336 = 4928^2 + 142844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57020 + ... + 210020.

It is an arithmetic number, because the mean of its divisors is an integer number (1188137031).

Almost surely, 220428693520 is an apocalyptic number.

20428693520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20428693520 is an abundant number, since it is smaller than the sum of its proper divisors (27096787720).

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

20428693520 is a wasteful number, since it uses less digits than its factorization.

20428693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154683 (or 154677 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 20428693520 in words is "twenty billion, four hundred twenty-eight million, six hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1669 3338 6676 8345 13352 16690 26704 33380 66760 133520 153001 306002 612004 765005 1224008 1530010 2448016 3060020 6120040 12240080 255358669 510717338 1021434676 1276793345 2042869352 2553586690 4085738704 5107173380 10214346760 20428693520