Search a number
-
+
5101041152 = 29432231039
BaseRepresentation
bin1001100000000101…
…11011011000000000
3111011111111201222002
410300002323120000
540421331304102
62202101003132
7240260064044
oct46002733000
914144451862
105101041152
11218844a799
12ba43b34a8
13633a7825c
14365684024
151ecc64902
hex1300bb600

5101041152 has 80 divisors (see below), whose sum is σ = 10485995520. Its totient is φ = 2477647872.

The previous prime is 5101041137. The next prime is 5101041157. The reversal of 5101041152 is 2511401015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101041157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4909049 + ... + 4910087.

It is an arithmetic number, because the mean of its divisors is an integer number (131074944).

Almost surely, 25101041152 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 5101041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242997760).

5101041152 is an abundant number, since it is smaller than the sum of its proper divisors (5384954368).

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

5101041152 is a wasteful number, since it uses less digits than its factorization.

5101041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 5101041152 is about 71421.5734354824. The cubic root of 5101041152 is about 1721.4177458011.

Adding to 5101041152 its reverse (2511401015), we get a palindrome (7612442167).

The spelling of 5101041152 in words is "five billion, one hundred one million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 223 256 344 446 512 688 892 1039 1376 1784 2078 2752 3568 4156 5504 7136 8312 9589 11008 14272 16624 19178 22016 28544 33248 38356 44677 57088 66496 76712 89354 114176 132992 153424 178708 231697 265984 306848 357416 463394 531968 613696 714832 926788 1227392 1429664 1853576 2454784 2859328 3707152 4909568 5718656 7414304 9962971 11437312 14828608 19925942 22874624 29657216 39851884 59314432 79703768 118628864 159407536 318815072 637630144 1275260288 2550520576 5101041152