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97236273049344 = 28351113293761167
BaseRepresentation
bin10110000110111110010101…
…100000111010111100000000
3110202021200211001110202200000
4112012332111200322330000
5100221104341400034334
6542445421022400000
726324042330520462
oct2606762540727400
9422250731422600
1097236273049344
1128a89743212530
12aaa505b130000
134234458818b20
141a02391610132
15b39512bea299
hex586f9583af00

97236273049344 has 3456 divisors, whose sum is σ = 371054231009280. Its totient is φ = 24981936537600.

The previous prime is 97236273049339. The next prime is 97236273049367. The reversal of 97236273049344 is 44394037263279.

It is a happy number.

97236273049344 is a `hidden beast` number, since 9 + 7 + 2 + 36 + 2 + 73 + 0 + 493 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 582253131949 + ... + 582253132115.

It is an arithmetic number, because the mean of its divisors is an integer number (107365228880).

Almost surely, 297236273049344 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 97236273049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185527115504640).

97236273049344 is an abundant number, since it is smaller than the sum of its proper divisors (273817957959936).

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

97236273049344 is a wasteful number, since it uses less digits than its factorization.

97236273049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 97236273049344 in words is "ninety-seven trillion, two hundred thirty-six billion, two hundred seventy-three million, forty-nine thousand, three hundred forty-four".