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4969258632 = 2335131979131
BaseRepresentation
bin1001010000011000…
…01101111010001000
3110211022112111100000
410220030031322020
540134112234012
62141032243000
7234100000332
oct45014157210
913738474300
104969258632
112120020618
12b68240460
13612687330
14351d7c452
151e13d2ddc
hex12830de88

4969258632 has 384 divisors, whose sum is σ = 16144128000. Its totient is φ = 1419275520.

The previous prime is 4969258631. The next prime is 4969258639. The reversal of 4969258632 is 2368529694.

It is a happy number.

4969258632 is a `hidden beast` number, since 496 + 92 + 5 + 8 + 63 + 2 = 666.

It is a super-2 number, since 2×49692586322 = 49387062703413022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4969258631) 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, 37933207 + ... + 37933337.

It is an arithmetic number, because the mean of its divisors is an integer number (42042000).

Almost surely, 24969258632 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 4969258632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064000).

4969258632 is an abundant number, since it is smaller than the sum of its proper divisors (11174869368).

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

4969258632 is a wasteful number, since it uses less digits than its factorization.

4969258632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 4969258632 is about 70492.9686706412. The cubic root of 4969258632 is about 1706.4642732471.

The spelling of 4969258632 in words is "four billion, nine hundred sixty-nine million, two hundred fifty-eight thousand, six hundred thirty-two".