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4146552020 = 22513197611103
BaseRepresentation
bin1111011100100111…
…0101110011010100
3101200222110200000202
43313021311303110
531443004131040
61523243000032
7204520052642
oct36711656324
911628420022
104146552020
1118386909a6
12978809018
135110b40a0
142b49c2192
15194073015
hexf7275cd4

4146552020 has 96 divisors (see below), whose sum is σ = 9893076480. Its totient is φ = 1447234560.

The previous prime is 4146551999. The next prime is 4146552029. The reversal of 4146552020 is 202556414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146552029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3758789 + ... + 3759891.

It is an arithmetic number, because the mean of its divisors is an integer number (103052880).

Almost surely, 24146552020 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 4146552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946538240).

4146552020 is an abundant number, since it is smaller than the sum of its proper divisors (5746524460).

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

4146552020 is a wasteful number, since it uses less digits than its factorization.

4146552020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4146552020 is about 64393.7265577944. The cubic root of 4146552020 is about 1606.5553993027. Note that the first 3 decimals are identical.

The spelling of 4146552020 in words is "four billion, one hundred forty-six million, five hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 761 988 1103 1235 1522 2206 2470 3044 3805 4412 4940 5515 7610 9893 11030 14339 14459 15220 19786 20957 22060 28678 28918 39572 41914 49465 57356 57836 71695 72295 83828 98930 104785 143390 144590 187967 197860 209570 272441 286780 289180 375934 419140 544882 751868 839383 939835 1089764 1362205 1678766 1879670 2724410 3357532 3759340 4196915 5448820 8393830 10911979 15948277 16787660 21823958 31896554 43647916 54559895 63793108 79741385 109119790 159482770 207327601 218239580 318965540 414655202 829310404 1036638005 2073276010 4146552020