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9149723352 = 23327211435483
BaseRepresentation
bin10001000010101110…
…11011001011011000
3212121122211002211200
420201113123023120
5122214312121402
64111530154200
7442511236200
oct104127331330
925548732750
109149723352
113975864640
121934282960
13b2a7b32b3
1462b26b400
1538840421c
hex2215db2d8

9149723352 has 288 divisors, whose sum is σ = 32184060480. Its totient is φ = 2320859520.

The previous prime is 9149723351. The next prime is 9149723369. The reversal of 9149723352 is 2533279419.

9149723352 is a `hidden beast` number, since 91 + 497 + 23 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9149723298 and 9149723307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9149723351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1666003 + ... + 1671485.

It is an arithmetic number, because the mean of its divisors is an integer number (111750210).

Almost surely, 29149723352 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 9149723352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092030240).

9149723352 is an abundant number, since it is smaller than the sum of its proper divisors (23034337128).

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

9149723352 is a wasteful number, since it uses less digits than its factorization.

9149723352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5549 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 9149723352 is about 95654.1862753534. The cubic root of 9149723352 is about 2091.5551524499. Note that the first 3 decimals are identical.

The spelling of 9149723352 in words is "nine billion, one hundred forty-nine million, seven hundred twenty-three thousand, three hundred fifty-two".