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4124965152 = 2537113147383
BaseRepresentation
bin1111010111011101…
…1111100100100000
3101122110211221102010
43311313133210200
531421442341102
61521152152520
7204135424320
oct36567374440
911573757363
104124965152
111827487410
12971538740
135097965a9
142b1ba3280
1519220bd6c
hexf5ddf920

4124965152 has 384 divisors, whose sum is σ = 14269022208. Its totient is φ = 1012147200.

The previous prime is 4124965111. The next prime is 4124965237. The reversal of 4124965152 is 2515694214.

It is a self number, because there is not a number n which added to its sum of digits gives 4124965152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10769953 + ... + 10770335.

It is an arithmetic number, because the mean of its divisors is an integer number (37158912).

Almost surely, 24124965152 is an apocalyptic number.

4124965152 is a gapful number since it is divisible by the number (42) 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 4124965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134511104).

4124965152 is an abundant number, since it is smaller than the sum of its proper divisors (10144057056).

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

4124965152 is a wasteful number, since it uses less digits than its factorization.

4124965152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 4124965152 is about 64225.8916014406. The cubic root of 4124965152 is about 1603.7626487769.

The spelling of 4124965152 in words is "four billion, one hundred twenty-four million, nine hundred sixty-five thousand, one hundred fifty-two".