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9242601984 = 293371119457
BaseRepresentation
bin10001001101110011…
…01110101000000000
3212212010120211101000
420212321232220000
5122412101230414
64125045012000
7445016551320
oct104671565000
925763524330
109242601984
113a13231740
12195b3b4000
13b43b02575
14639727280
1539164db09
hex226e6ea00

9242601984 has 640 divisors, whose sum is σ = 35983411200. Its totient is φ = 2269347840.

The previous prime is 9242601983. The next prime is 9242602009. The reversal of 9242601984 is 4891062429.

It is not an unprimeable number, because it can be changed into a prime (9242601983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20224284 + ... + 20224740.

It is an arithmetic number, because the mean of its divisors is an integer number (56224080).

Almost surely, 29242601984 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 9242601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17991705600).

9242601984 is an abundant number, since it is smaller than the sum of its proper divisors (26740809216).

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

9242601984 is a wasteful number, since it uses less digits than its factorization.

9242601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9242601984 is about 96138.4521614531. The cubic root of 9242601984 is about 2098.6084495310.

The spelling of 9242601984 in words is "nine billion, two hundred forty-two million, six hundred one thousand, nine hundred eighty-four".