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9049487616 = 283313261127
BaseRepresentation
bin10000110110110010…
…00011100100000000
3212100200012121021000
420123121003210000
5122013132100431
64053545532000
7440153242551
oct103331034400
925320177230
109049487616
113924221a94
1219067a4000
13b12ab9400
1461bc18328
1537e7049e6
hex21b643900

9049487616 has 432 divisors, whose sum is σ = 29684766720. Its totient is φ = 2717245440.

The previous prime is 9049487611. The next prime is 9049487633. The reversal of 9049487616 is 6167849409.

9049487616 is a `hidden beast` number, since 90 + 494 + 8 + 7 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×90494876162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9049487611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71255745 + ... + 71255871.

Almost surely, 29049487616 is an apocalyptic number.

9049487616 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 9049487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842383360).

9049487616 is an abundant number, since it is smaller than the sum of its proper divisors (20635279104).

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

9049487616 is a wasteful number, since it uses less digits than its factorization.

9049487616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9049487616 is about 95128.7948835682. The cubic root of 9049487616 is about 2083.8893893693.

The spelling of 9049487616 in words is "nine billion, forty-nine million, four hundred eighty-seven thousand, six hundred sixteen".