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97117057296 = 2435723473301
BaseRepresentation
bin101101001110010100…
…0001011000100010000
3100021200020212200100000
41122130220023010100
53042343431313141
6112340455330000
710005436236510
oct1323450130420
9307606780300
1097117057296
1138207057626
12169a4380900
13920946189c
1449b4209840
1527d60b95b6
hex169ca0b110

97117057296 has 480 divisors, whose sum is σ = 343386021888. Its totient is φ = 25968729600.

The previous prime is 97117057291. The next prime is 97117057381. The reversal of 97117057296 is 69275071179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97117057291) 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, 29418846 + ... + 29422146.

Almost surely, 297117057296 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 97117057296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171693010944).

97117057296 is an abundant number, since it is smaller than the sum of its proper divisors (246268964592).

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

97117057296 is a wasteful number, since it uses less digits than its factorization.

97117057296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 97117057296 in words is "ninety-seven billion, one hundred seventeen million, fifty-seven thousand, two hundred ninety-six".