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97318104576 = 29371121931127
BaseRepresentation
bin101101010100010011…
…1000110111000000000
3100022012021011221100120
41122220213012320000
53043301413321301
6112412440420240
710013430145260
oct1325047067000
9308167157316
1097318104576
11382aa595400
1216a3b777680
13923bcc4784
1449d2bc17a0
1527e8a7de36
hex16a89c6e00

97318104576 has 960 divisors, whose sum is σ = 356670504960. Its totient is φ = 22992076800.

The previous prime is 97318104563. The next prime is 97318104577. The reversal of 97318104576 is 67540181379.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97318104577) 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, 766284225 + ... + 766284351.

It is an arithmetic number, because the mean of its divisors is an integer number (371531776).

Almost surely, 297318104576 is an apocalyptic number.

97318104576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97318104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178335252480).

97318104576 is an abundant number, since it is smaller than the sum of its proper divisors (259352400384).

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

97318104576 is a wasteful number, since it uses less digits than its factorization.

97318104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 97318104576 in words is "ninety-seven billion, three hundred eighteen million, one hundred four thousand, five hundred seventy-six".