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4125211888 = 247791912441
BaseRepresentation
bin1111010111100001…
…1011110011110000
3101122111022110212111
43311320123303300
531422023240023
61521201335104
7204140502550
oct36570336360
911574273774
104125211888
111827635826
12971637494
135098519a5
142b1c29160
1519225a00d
hexf5e1bcf0

4125211888 has 80 divisors (see below), whose sum is σ = 9302261760. Its totient is φ = 1735718400.

The previous prime is 4125211859. The next prime is 4125211889. The reversal of 4125211888 is 8881125214.

It is a self number, because there is not a number n which added to its sum of digits gives 4125211888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125211889) 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 15 ways as a sum of consecutive naturals, for example, 1688748 + ... + 1691188.

It is an arithmetic number, because the mean of its divisors is an integer number (116278272).

Almost surely, 24125211888 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 4125211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651130880).

4125211888 is an abundant number, since it is smaller than the sum of its proper divisors (5177049872).

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

4125211888 is a wasteful number, since it uses less digits than its factorization.

4125211888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its digits is 40960, while the sum is 40.

The square root of 4125211888 is about 64227.8124179860. The cubic root of 4125211888 is about 1603.7946246503.

The spelling of 4125211888 in words is "four billion, one hundred twenty-five million, two hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 191 316 382 553 632 764 1106 1264 1337 1528 2212 2441 2674 3056 4424 4882 5348 8848 9764 10696 15089 17087 19528 21392 30178 34174 39056 60356 68348 105623 120712 136696 192839 211246 241424 273392 385678 422492 466231 771356 844984 932462 1349873 1542712 1689968 1864924 2699746 3085424 3263617 3729848 5399492 6527234 7459696 10798984 13054468 21597968 26108936 36832249 52217872 73664498 147328996 257825743 294657992 515651486 589315984 1031302972 2062605944 4125211888