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23980285800 = 23325213322381
BaseRepresentation
bin10110010101010101…
…100001111101101000
32021220020010201220100
4112111111201331220
5343102423121200
615003312425400
71506153031452
oct262525417550
967806121810
1023980285800
11a196278719
124792b48260
1323521b6033
141236b872d2
159553e9d00
hex595561f68

23980285800 has 72 divisors (see below), whose sum is σ = 80533799190. Its totient is φ = 6394742400.

The previous prime is 23980285793. The next prime is 23980285801. The reversal of 23980285800 is 858208932.

It can be written as a sum of positive squares in 3 ways, for example, as 21557874276 + 2422411524 = 146826^2 + 49218^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23980285801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6659391 + ... + 6662990.

Almost surely, 223980285800 is an apocalyptic number.

23980285800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23980285800 is an abundant number, since it is smaller than the sum of its proper divisors (56553513390).

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

23980285800 is a wasteful number, since it uses less digits than its factorization.

23980285800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322403 (or 13322391 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 23980285800 in words is "twenty-three billion, nine hundred eighty million, two hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 13322381 26644762 39967143 53289524 66611905 79934286 106579048 119901429 133223810 159868572 199835715 239802858 266447620 319737144 333059525 399671430 479605716 532895240 599507145 666119050 799342860 959211432 999178575 1199014290 1332238100 1598685720 1998357150 2398028580 2664476200 2997535725 3996714300 4796057160 5995071450 7993428600 11990142900 23980285800