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4946054520 = 2335116076173
BaseRepresentation
bin1001001101100111…
…01100110101111000
3110202200212121021110
410212303230311320
540112142221040
62134443040320
7233365525011
oct44663546570
913680777243
104946054520
112108a11a70
12b605100a0
1360a9216a4
1434cc5c008
151de34c980
hex126cecd78

4946054520 has 128 divisors (see below), whose sum is σ = 16216381440. Its totient is φ = 1196874240.

The previous prime is 4946054507. The next prime is 4946054539. The reversal of 4946054520 is 254506494.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798154 + ... + 804326.

It is an arithmetic number, because the mean of its divisors is an integer number (126690480).

Almost surely, 24946054520 is an apocalyptic number.

4946054520 is a gapful number since it is divisible by the number (40) 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 4946054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108190720).

4946054520 is an abundant number, since it is smaller than the sum of its proper divisors (11270326920).

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

4946054520 is a wasteful number, since it uses less digits than its factorization.

4946054520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 4946054520 is about 70328.1915024125. The cubic root of 4946054520 is about 1703.8039983733.

The spelling of 4946054520 in words is "four billion, nine hundred forty-six million, fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 607 660 1214 1320 1821 2428 3035 3642 4856 6070 6173 6677 7284 9105 12140 12346 13354 14568 18210 18519 20031 24280 24692 26708 30865 33385 36420 37038 40062 49384 53416 61730 66770 67903 72840 74076 80124 92595 100155 123460 133540 135806 148152 160248 185190 200310 203709 246920 267080 271612 339515 370380 400620 407418 543224 679030 740760 801240 814836 1018545 1358060 1629672 2037090 2716120 3747011 4074180 7494022 8148360 11241033 14988044 18735055 22482066 29976088 37470110 41217121 44964132 56205165 74940220 82434242 89928264 112410330 123651363 149880440 164868484 206085605 224820660 247302726 329736968 412171210 449641320 494605452 618256815 824342420 989210904 1236513630 1648684840 2473027260 4946054520