Search a number
-
+
5675361042 = 2313211349531
BaseRepresentation
bin1010100100100011…
…10010001100010010
3112122112012012202010
411102101302030102
543110343023132
62335054403350
7260432526051
oct52221621422
915575165663
105675361042
11245265882a
121124800556
136c5a52200
143bba64398
152333ad6cc
hex152472312

5675361042 has 48 divisors (see below), whose sum is σ = 12400039008. Its totient is φ = 1730776320.

The previous prime is 5675361019. The next prime is 5675361049. The reversal of 5675361042 is 2401635765.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5675361049) 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 23 ways as a sum of consecutive naturals, for example, 89817 + ... + 139347.

It is an arithmetic number, because the mean of its divisors is an integer number (258334146).

Almost surely, 25675361042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5675361042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200019504).

5675361042 is an abundant number, since it is smaller than the sum of its proper divisors (6724677966).

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

5675361042 is a wasteful number, since it uses less digits than its factorization.

5675361042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49675 (or 49662 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5675361042 is about 75334.9921484034. The cubic root of 5675361042 is about 1783.7384125912.

The spelling of 5675361042 in words is "five billion, six hundred seventy-five million, three hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 113 169 226 338 339 507 678 1014 1469 2938 4407 8814 19097 38194 49531 57291 99062 114582 148593 297186 643903 1287806 1931709 3863418 5597003 8370739 11194006 16741478 16791009 25112217 33582018 50224434 72761039 145522078 218283117 436566234 945893507 1891787014 2837680521 5675361042