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4965814350 = 235527219439
BaseRepresentation
bin1001001111111110…
…00101000001001110
3110211002001111200000
410213333011001032
540132222024400
62140430345130
7234025503600
oct44777050116
913732044600
104965814350
112119088902
12b6705b1a6
13611a4c6b3
14351723170
151e0e52600
hex127fc504e

4965814350 has 432 divisors, whose sum is σ = 16980163200. Its totient is φ = 1072854720.

The previous prime is 4965814339. The next prime is 4965814361. The reversal of 4965814350 is 534185694.

It is an interprime number because it is at equal distance from previous prime (4965814339) and next prime (4965814361).

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

It is a junction number, because it is equal to n+sod(n) for n = 4965814296 and 4965814305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11311431 + ... + 11311869.

Almost surely, 24965814350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965814350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490081600).

4965814350 is an abundant number, since it is smaller than the sum of its proper divisors (12014348850).

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

4965814350 is a wasteful number, since it uses less digits than its factorization.

4965814350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4965814350 is about 70468.5344675196. The cubic root of 4965814350 is about 1706.0699218236.

The spelling of 4965814350 in words is "four billion, nine hundred sixty-five million, eight hundred fourteen thousand, three hundred fifty".