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97075332168 = 233233161113823
BaseRepresentation
bin101101001101000100…
…1000000010001001000
3100021120100100211012220
41122122021000101020
53042302241112133
6112332405134040
710004421465063
oct1323211002110
9307510324186
1097075332168
1138195548951
12169923ba320
139200912a69
1449ac8678da
1527d25c65b3
hex169a240448

97075332168 has 256 divisors, whose sum is σ = 268371394560. Its totient is φ = 29165875200.

The previous prime is 97075332161. The next prime is 97075332181. The reversal of 97075332168 is 86123357079.

It is a self number, because there is not a number n which added to its sum of digits gives 97075332168.

It is not an unprimeable number, because it can be changed into a prime (97075332161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117952605 + ... + 117953427.

It is an arithmetic number, because the mean of its divisors is an integer number (1048325760).

Almost surely, 297075332168 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 97075332168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134185697280).

97075332168 is an abundant number, since it is smaller than the sum of its proper divisors (171296062392).

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

97075332168 is a wasteful number, since it uses less digits than its factorization.

97075332168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 97075332168 in words is "ninety-seven billion, seventy-five million, three hundred thirty-two thousand, one hundred sixty-eight".