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4101313552 = 247194674127
BaseRepresentation
bin1111010001110101…
…0001010000010000
3101120211100022111221
43310131101100100
531344414013202
61514545214424
7203430406240
oct36435212020
911524308457
104101313552
1118150a2636
12965631414
1350490506b
142ac9a7b20
151900d9037
hexf4751410

4101313552 has 80 divisors (see below), whose sum is σ = 9582243840. Its totient is φ = 1661226624.

The previous prime is 4101313543. The next prime is 4101313553. The reversal of 4101313552 is 2553131014.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4101313553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991713 + ... + 995839.

It is an arithmetic number, because the mean of its divisors is an integer number (119778048).

Almost surely, 24101313552 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 4101313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791121920).

4101313552 is an abundant number, since it is smaller than the sum of its proper divisors (5480930288).

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

4101313552 is a wasteful number, since it uses less digits than its factorization.

4101313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 4101313552 is about 64041.4986707838. The cubic root of 4101313552 is about 1600.6915697889.

Adding to 4101313552 its reverse (2553131014), we get a palindrome (6654444566).

The spelling of 4101313552 in words is "four billion, one hundred one million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 467 532 934 1064 1868 2128 3269 3736 4127 6538 7472 8254 8873 13076 16508 17746 26152 28889 33016 35492 52304 57778 62111 66032 70984 78413 115556 124222 141968 156826 231112 248444 313652 462224 496888 548891 627304 993776 1097782 1254608 1927309 2195564 3854618 4391128 7709236 8782256 13491163 15418472 26982326 30836944 36618871 53964652 73237742 107929304 146475484 215858608 256332097 292950968 512664194 585901936 1025328388 2050656776 4101313552