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4125504012 = 2237173313907
BaseRepresentation
bin1111010111100110…
…0011001000001100
3101122111212022120220
43311321203020030
531422112112022
61521211511340
7204143130330
oct36571431014
911574768526
104125504012
111827815253
12971758550
13509924946
142b1ca37c0
151922b685c
hexf5e6320c

4125504012 has 96 divisors (see below), whose sum is σ = 11112525312. Its totient is φ = 1166870016.

The previous prime is 4125503983. The next prime is 4125504013. The reversal of 4125504012 is 2104055214.

4125504012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41255040122 = 34039566706056192288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4125504013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4548063 + ... + 4548969.

It is an arithmetic number, because the mean of its divisors is an integer number (115755472).

Almost surely, 24125504012 is an apocalyptic number.

4125504012 is a gapful number since it is divisible by the number (42) 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 4125504012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556262656).

4125504012 is an abundant number, since it is smaller than the sum of its proper divisors (6987021300).

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

4125504012 is a wasteful number, since it uses less digits than its factorization.

4125504012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4125504012 is about 64230.0865015765. The cubic root of 4125504012 is about 1603.8324809557.

Adding to 4125504012 its reverse (2104055214), we get a palindrome (6229559226).

The spelling of 4125504012 in words is "four billion, one hundred twenty-five million, five hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 313 346 519 626 692 907 939 1038 1211 1252 1814 1878 2076 2191 2422 2721 3628 3633 3756 4382 4844 5442 6349 6573 7266 8764 10884 12698 13146 14532 19047 25396 26292 38094 54149 76188 108298 156911 162447 216596 283891 313822 324894 379043 470733 567782 627644 649788 758086 851673 941466 1098377 1135564 1137129 1516172 1703346 1882932 1987237 2196754 2274258 3295131 3406692 3974474 4393508 4548516 5961711 6590262 7948948 11923422 13180524 23846844 49113143 98226286 147339429 196452572 294678858 343792001 589357716 687584002 1031376003 1375168004 2062752006 4125504012