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4963172032 = 267131750129
BaseRepresentation
bin1001001111101001…
…11111111011000000
3110210220002021002101
410213310333323000
540131033001112
62140254000144
7233664160210
oct44764777300
913726067071
104963172032
112117643675
12b661a6054
13611335ab0
14351236240
151e0ace757
hex127d3fec0

4963172032 has 112 divisors (see below), whose sum is σ = 12834884160. Its totient is φ = 1847918592.

The previous prime is 4963172023. The next prime is 4963172051. The reversal of 4963172032 is 2302713694.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4963171982 and 4963172000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73944 + ... + 124072.

It is an arithmetic number, because the mean of its divisors is an integer number (114597180).

Almost surely, 24963172032 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 4963172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417442080).

4963172032 is an abundant number, since it is smaller than the sum of its proper divisors (7871712128).

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

4963172032 is a wasteful number, since it uses less digits than its factorization.

4963172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50178 (or 50168 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 4963172032 is about 70449.7837612011. The cubic root of 4963172032 is about 1705.7672672638.

The spelling of 4963172032 in words is "four billion, nine hundred sixty-three million, one hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 952 1088 1456 1547 1768 1904 2912 3094 3536 3808 5824 6188 7072 7616 12376 14144 24752 49504 50129 99008 100258 200516 350903 401032 651677 701806 802064 852193 1303354 1403612 1604128 1704386 2606708 2807224 3208256 3408772 4561739 5213416 5614448 5965351 6817544 9123478 10426832 11078509 11228896 11930702 13635088 18246956 20853664 22157018 22457792 23861404 27270176 36493912 41707328 44314036 47722808 54540352 72987824 77549563 88628072 95445616 145975648 155099126 177256144 190891232 291951296 310198252 354512288 381782464 620396504 709024576 1240793008 2481586016 4963172032