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9049163146848 = 253311329318753
BaseRepresentation
bin1000001110101110110000…
…1001111010011001100000
31012001002110201221110021000
42003223230021322121200
52141230141231144343
631125043403232000
71622531461424016
oct203535411723140
935032421843230
109049163146848
11297980175a000
121021956518600
13508442445426
14233da62168b6
1510a5c9869ed3
hex83aec27a660

9049163146848 has 768 divisors, whose sum is σ = 31004118835200. Its totient is φ = 2561913446400.

The previous prime is 9049163146843. The next prime is 9049163146853. The reversal of 9049163146848 is 8486413619409.

9049163146848 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 163 + 1 + 468 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9049163146843) and next prime (9049163146853).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9049163146843) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1033831240 + ... + 1033839992.

It is an arithmetic number, because the mean of its divisors is an integer number (40369946400).

Almost surely, 29049163146848 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 9049163146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502059417600).

9049163146848 is an abundant number, since it is smaller than the sum of its proper divisors (21954955688352).

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

9049163146848 is a wasteful number, since it uses less digits than its factorization.

9049163146848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 9049163146848 in words is "nine trillion, forty-nine billion, one hundred sixty-three million, one hundred forty-six thousand, eight hundred forty-eight".