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97926262056 = 233272413471951
BaseRepresentation
bin101101100110011011…
…1000010110100101000
3100100202122112112120200
41123030313002310220
53101023110341211
6112553043352200
710034463331200
oct1331467026450
9310678475520
1097926262056
1138591905097
1216b8b382660
139307cb837c
144a4d88d400
15283215db56
hex16ccdc2d28

97926262056 has 288 divisors, whose sum is σ = 317115751680. Its totient is φ = 27203904000.

The previous prime is 97926262039. The next prime is 97926262061. The reversal of 97926262056 is 65026262979.

It is a happy number.

97926262056 is a `hidden beast` number, since 9 + 7 + 9 + 2 + 6 + 2 + 620 + 5 + 6 = 666.

97926262056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 97926261993 and 97926262011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50191881 + ... + 50193831.

It is an arithmetic number, because the mean of its divisors is an integer number (1101096360).

Almost surely, 297926262056 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 97926262056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158557875840).

97926262056 is an abundant number, since it is smaller than the sum of its proper divisors (219189489624).

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

97926262056 is a wasteful number, since it uses less digits than its factorization.

97926262056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 97926262056 in words is "ninety-seven billion, nine hundred twenty-six million, two hundred sixty-two thousand, fifty-six".