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23903731042272 = 25331719473175749
BaseRepresentation
bin1010110111101100001010…
…11001011100011111100000
310010122011201010010110011000
411123312011121130133200
511113114320121323042
6122501120014152000
75014662511262544
oct533660531343740
9103564633113130
1023903731042272
117686574005914
1228208531b2600
13104515c571b53
145c8d37c7ba24
152b6bce45074c
hex15bd8565c7e0

23903731042272 has 768 divisors, whose sum is σ = 79623129600000. Its totient is φ = 6930214060032.

The previous prime is 23903731042237. The next prime is 23903731042297. The reversal of 23903731042272 is 27224013730932.

It is a happy number.

23903731042272 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 373 + 1 + 0 + 4 + 2 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157890854 + ... + 4157896602.

It is an arithmetic number, because the mean of its divisors is an integer number (103675950000).

Almost surely, 223903731042272 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 23903731042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39811564800000).

23903731042272 is an abundant number, since it is smaller than the sum of its proper divisors (55719398557728).

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

23903731042272 is a wasteful number, since it uses less digits than its factorization.

23903731042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 23903731042272 in words is "twenty-three trillion, nine hundred three billion, seven hundred thirty-one million, forty-two thousand, two hundred seventy-two".