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23973019200 = 263752131731
BaseRepresentation
bin10110010100111001…
…110011111001000000
32021212201110120000000
4112110321303321000
5343044043103300
615002453000000
71506034205154
oct262471637100
967781416000
1023973019200
11a192165169
124790623000
132350840680
141235c15064
15954961c00
hex594e73e40

23973019200 has 1344 divisors, whose sum is σ = 104133335040. Its totient is φ = 5374771200.

The previous prime is 23973019199. The next prime is 23973019229. The reversal of 23973019200 is 291037932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 773323185 + ... + 773323215.

It is an arithmetic number, because the mean of its divisors is an integer number (77480160).

Almost surely, 223973019200 is an apocalyptic number.

23973019200 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 23973019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52066667520).

23973019200 is an abundant number, since it is smaller than the sum of its proper divisors (80160315840).

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

23973019200 is a wasteful number, since it uses less digits than its factorization.

23973019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 23973019200 in words is "twenty-three billion, nine hundred seventy-three million, nineteen thousand, two hundred".