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97024830048 = 2535173783239
BaseRepresentation
bin101101001011100100…
…0010110101001100000
3100021102211100001100000
41122113020112221200
53042201324030143
6112323402500000
710003236306426
oct1322710265140
9307384301300
1097024830048
1138169a94963
1216979504600
1391c330cc53
1449a5c7d116
1527cce4cbd3
hex1697216a60

97024830048 has 576 divisors, whose sum is σ = 316219438080. Its totient is φ = 29137231872.

The previous prime is 97024830047. The next prime is 97024830061. The reversal of 97024830048 is 84003842079.

It is a junction number, because it is equal to n+sod(n) for n = 97024829985 and 97024830012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97024830043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405961513 + ... + 405961751.

It is an arithmetic number, because the mean of its divisors is an integer number (548992080).

Almost surely, 297024830048 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 97024830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158109719040).

97024830048 is an abundant number, since it is smaller than the sum of its proper divisors (219194608032).

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

97024830048 is a wasteful number, since it uses less digits than its factorization.

97024830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 97024830048 in words is "ninety-seven billion, twenty-four million, eight hundred thirty thousand, forty-eight".