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4967148150 = 2335219197983
BaseRepresentation
bin1001010000001000…
…01010101001110110
3110211011120021022000
410220010022221312
540133042220100
62140515120130
7234043030326
oct45004125166
913734507260
104967148150
112119909a18
12b675a3046
136120c8823
1435198d286
151e1117900
hex12810aa76

4967148150 has 192 divisors, whose sum is σ = 14495500800. Its totient is φ = 1247218560.

The previous prime is 4967148089. The next prime is 4967148157. The reversal of 4967148150 is 518417694.

4967148150 is a `hidden beast` number, since 496 + 7 + 1 + 4 + 8 + 150 = 666.

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 = 4967148096 and 4967148105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967148157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5052559 + ... + 5053541.

It is an arithmetic number, because the mean of its divisors is an integer number (75497400).

Almost surely, 24967148150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967148150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247750400).

4967148150 is an abundant number, since it is smaller than the sum of its proper divisors (9528352650).

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

4967148150 is a wasteful number, since it uses less digits than its factorization.

4967148150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4967148150 is about 70477.9976304662. The cubic root of 4967148150 is about 1706.2226562458. Note that the first 3 decimals are identical.

The spelling of 4967148150 in words is "four billion, nine hundred sixty-seven million, one hundred forty-eight thousand, one hundred fifty".