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4906819872 = 253231217729
BaseRepresentation
bin1001001000111100…
…00010000100100000
3110122222001021110100
410210132002010200
540022121213442
62130522102400
7232411165203
oct44436020440
913588037410
104906819872
112098854439
12b4b34aa00
13602765316
1434796793a
151dab9c84c
hex124782120

4906819872 has 108 divisors (see below), whose sum is σ = 14419223910. Its totient is φ = 1582755840.

The previous prime is 4906819831. The next prime is 4906819877. The reversal of 4906819872 is 2789186094.

4906819872 is a `hidden beast` number, since 490 + 6 + 81 + 9 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3859391376 + 1047428496 = 62124^2 + 32364^2 .

It is not an unprimeable number, because it can be changed into a prime (4906819877) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267904 + ... + 285632.

Almost surely, 24906819872 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 4906819872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209611955).

4906819872 is an abundant number, since it is smaller than the sum of its proper divisors (9512404038).

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

4906819872 is a wasteful number, since it uses less digits than its factorization.

4906819872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17807 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4906819872 is about 70048.6964332671. The cubic root of 4906819872 is about 1699.2868833717.

The spelling of 4906819872 in words is "four billion, nine hundred six million, eight hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 961 992 1116 1488 1922 2232 2883 2976 3844 4464 5766 7688 8649 8928 11532 15376 17298 17729 23064 30752 34596 35458 46128 53187 69192 70916 92256 106374 138384 141832 159561 212748 276768 283664 319122 425496 549599 567328 638244 850992 1099198 1276488 1648797 1701984 2198396 2552976 3297594 4396792 4946391 5105952 6595188 8793584 9892782 13190376 17037569 17587168 19785564 26380752 34075138 39571128 51112707 52761504 68150276 79142256 102225414 136300552 153338121 158284512 204450828 272601104 306676242 408901656 545202208 613352484 817803312 1226704968 1635606624 2453409936 4906819872