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23741300000 = 255511113191
BaseRepresentation
bin10110000111000101…
…110111110100100000
32021021120110000000102
4112013011313310200
5342110233100000
614523454241532
71500221502035
oct260705676440
967246400012
1023741300000
11a0833880a0
124726ab62a8
13231482ba12
14121313738c
1593e43e3d5
hex587177d20

23741300000 has 288 divisors, whose sum is σ = 64633863168. Its totient is φ = 8512000000.

The previous prime is 23741299999. The next prime is 23741300017. The reversal of 23741300000 is 314732.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124299905 + ... + 124300095.

It is an arithmetic number, because the mean of its divisors is an integer number (224423136).

Almost surely, 223741300000 is an apocalyptic number.

23741300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23741300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316931584).

23741300000 is an abundant number, since it is smaller than the sum of its proper divisors (40892563168).

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

23741300000 is a wasteful number, since it uses less digits than its factorization.

23741300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

Adding to 23741300000 its reverse (314732), we get a palindrome (23741614732).

The spelling of 23741300000 in words is "twenty-three billion, seven hundred forty-one million, three hundred thousand".