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4929945120 = 253552337149
BaseRepresentation
bin1001001011101100…
…01111111000100000
3110201120120011100000
410211312033320200
540044031220440
62133105500000
7233111561562
oct44566177040
913646504300
104929945120
1120aa909811
12b57041600
136074a10b9
1434aa67332
151dcc19730
hex125d8fe20

4929945120 has 576 divisors, whose sum is σ = 18822585600. Its totient is φ = 1215295488.

The previous prime is 4929945047. The next prime is 4929945191. The reversal of 4929945120 is 215499294.

4929945120 is a `hidden beast` number, since 4 + 92 + 99 + 451 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33086806 + ... + 33086954.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 24929945120 is an apocalyptic number.

4929945120 is a gapful number since it is divisible by the number (40) 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 4929945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4929945120 is an abundant number, since it is smaller than the sum of its proper divisors (13892640480).

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

4929945120 is a wasteful number, since it uses less digits than its factorization.

4929945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4929945120 is about 70213.5679195980. The cubic root of 4929945120 is about 1701.9522117409.

The spelling of 4929945120 in words is "four billion, nine hundred twenty-nine million, nine hundred forty-five thousand, one hundred twenty".