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9078253364196 = 22323129721672
BaseRepresentation
bin1000010000011011001000…
…0100010010001111100100
31012010212120002022121110100
42010012302010102033210
52142214230330123241
631150254135424100
71624611403251222
oct204066204221744
935125502277410
109078253364196
11299007a399945
121027514825030
1350b0ca19a1a3
142355658b9b12
1510b22d6839b6
hex841b21123e4

9078253364196 has 243 divisors, whose sum is σ = 24103236767337. Its totient is φ = 2880923466240.

The previous prime is 9078253364153. The next prime is 9078253364197. The reversal of 9078253364196 is 6914633528709.

The square root of 9078253364196 is 3013014.

It is a perfect power (a square), and thus also a powerful number.

9078253364196 is a `hidden beast` number, since 9 + 0 + 7 + 8 + 2 + 533 + 6 + 4 + 1 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4076482140900 + 5001771223296 = 2019030^2 + 2236464^2 .

It is not an unprimeable number, because it can be changed into a prime (9078253364197) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54360798505 + ... + 54360798671.

It is a 1-persistent number, because it is pandigital, but 2⋅9078253364196 = 18156506728392 is not.

Almost surely, 29078253364196 is an apocalyptic number.

9078253364196 is the 3013014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9078253364196

9078253364196 is an abundant number, since it is smaller than the sum of its proper divisors (15024983403141).

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

9078253364196 is a wasteful number, since it uses less digits than its factorization.

9078253364196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

It can be divided in two parts, 9078253 and 364196, that added together give a palindrome (9442449).

The spelling of 9078253364196 in words is "nine trillion, seventy-eight billion, two hundred fifty-three million, three hundred sixty-four thousand, one hundred ninety-six".