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4935141168 = 243199755787
BaseRepresentation
bin1001001100010100…
…00100011100110000
3110201221100010222020
410212022010130300
540101344004133
62133413111440
7233204002446
oct44612043460
913657303866
104935141168
112102838671
12b58928580
136085a0199
1434b61ab96
151dd3e40b3
hex126284730

4935141168 has 80 divisors (see below), whose sum is σ = 13558715520. Its totient is φ = 1542371328.

The previous prime is 4935141161. The next prime is 4935141179. The reversal of 4935141168 is 8611415394.

It is not an unprimeable number, because it can be changed into a prime (4935141161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60571 + ... + 116357.

It is an arithmetic number, because the mean of its divisors is an integer number (169483944).

Almost surely, 24935141168 is an apocalyptic number.

4935141168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4935141168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779357760).

4935141168 is an abundant number, since it is smaller than the sum of its proper divisors (8623574352).

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

4935141168 is a wasteful number, since it uses less digits than its factorization.

4935141168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55914 (or 55908 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 4935141168 is about 70250.5599123594. The cubic root of 4935141168 is about 1702.5499411994.

The spelling of 4935141168 in words is "four billion, nine hundred thirty-five million, one hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 2328 3686 4656 5529 7372 11058 14744 22116 29488 44232 55787 88464 111574 167361 223148 334722 446296 669444 892592 1059953 1338888 2119906 2677776 3179859 4239812 5411339 6359718 8479624 10822678 12719436 16234017 16959248 21645356 25438872 32468034 43290712 50877744 64936068 86581424 102815441 129872136 205630882 259744272 308446323 411261764 616892646 822523528 1233785292 1645047056 2467570584 4935141168