Search a number
-
+
5673529680 = 24357213173759
BaseRepresentation
bin1010100100010101…
…10011000101010000
3112122101202011120220
411102022303011100
543104410422210
62334551233040
7260411130600
oct52212630520
915571664526
105673529680
112451617905
121124078780
136c5560770
143bb708c00
1523314ac70
hex1522b3150

5673529680 has 960 divisors, whose sum is σ = 24365940480. Its totient is φ = 1077608448.

The previous prime is 5673529553. The next prime is 5673529681. The reversal of 5673529680 is 869253765.

It is a happy number.

It is a super-3 number, since 3×56735296803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5673529681) 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 191 ways as a sum of consecutive naturals, for example, 96161491 + ... + 96161549.

It is an arithmetic number, because the mean of its divisors is an integer number (25381188).

Almost surely, 25673529680 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 5673529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182970240).

5673529680 is an abundant number, since it is smaller than the sum of its proper divisors (18692410800).

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

5673529680 is a wasteful number, since it uses less digits than its factorization.

5673529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 5673529680 is about 75322.8363778210. The cubic root of 5673529680 is about 1783.5465292228.

The spelling of 5673529680 in words is "five billion, six hundred seventy-three million, five hundred twenty-nine thousand, six hundred eighty".