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4950788868 = 22324127712109
BaseRepresentation
bin1001001110001011…
…10000101100000100
3110210000210010120200
410213011300230010
540114400220433
62135132330500
7233454003534
oct44705605404
913700703520
104950788868
112110655a53
12b62013a30
1360b8bb58c
1434d7314c4
151de985613
hex127170b04

4950788868 has 72 divisors (see below), whose sum is σ = 12867068760. Its totient is φ = 1604067840.

The previous prime is 4950788861. The next prime is 4950788929. The reversal of 4950788868 is 8688870594.

4950788868 is a `hidden beast` number, since 49 + 507 + 8 + 8 + 86 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 425266884 + 4525521984 = 20622^2 + 67272^2 .

It is not an unprimeable number, because it can be changed into a prime (4950788861) 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 23 ways as a sum of consecutive naturals, for example, 402798 + ... + 414906.

Almost surely, 24950788868 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 4950788868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433534380).

4950788868 is an abundant number, since it is smaller than the sum of its proper divisors (7916279892).

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

4950788868 is a wasteful number, since it uses less digits than its factorization.

4950788868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 4950788868 is about 70361.8424147634. The cubic root of 4950788868 is about 1704.3474503089.

The spelling of 4950788868 in words is "four billion, nine hundred fifty million, seven hundred eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 277 369 492 554 738 831 1108 1476 1662 2493 3324 4986 9972 11357 12109 22714 24218 34071 36327 45428 48436 68142 72654 102213 108981 136284 145308 204426 217962 408852 435924 496469 992938 1489407 1985876 2978814 3354193 4468221 5957628 6708386 8936442 10062579 13416772 17872884 20125158 30187737 40250316 60375474 120750948 137521913 275043826 412565739 550087652 825131478 1237697217 1650262956 2475394434 4950788868