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5104862576 = 2411291975077
BaseRepresentation
bin1001100000100011…
…00000010101110000
3111011202200212222022
410300101200111300
540423321100301
62202314531012
7240334421162
oct46021402560
914152625868
105104862576
11218a61a8a0
12ba5736a68
136347b5758
14365d9a932
151ed26bd1b
hex130460570

5104862576 has 80 divisors (see below), whose sum is σ = 11220755040. Its totient is φ = 2228567040.

The previous prime is 5104862569. The next prime is 5104862579. The reversal of 5104862576 is 6752684015.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104862579) 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 15 ways as a sum of consecutive naturals, for example, 1002950 + ... + 1008026.

It is an arithmetic number, because the mean of its divisors is an integer number (140259438).

Almost surely, 25104862576 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 5104862576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610377520).

5104862576 is an abundant number, since it is smaller than the sum of its proper divisors (6115892464).

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

5104862576 is a wasteful number, since it uses less digits than its factorization.

5104862576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 5104862576 is about 71448.3210159623. The cubic root of 5104862576 is about 1721.8475028436.

It can be divided in two parts, 5104 and 862576, that multiplied together give a square (4402587904 = 663522).

The spelling of 5104862576 in words is "five billion, one hundred four million, eight hundred sixty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 197 232 319 394 464 638 788 1276 1576 2167 2552 3152 4334 5077 5104 5713 8668 10154 11426 17336 20308 22852 34672 40616 45704 55847 62843 81232 91408 111694 125686 147233 223388 251372 294466 446776 502744 588932 893552 1000169 1005488 1177864 1619563 2000338 2355728 3239126 4000676 6478252 8001352 11001859 12956504 16002704 22003718 25913008 29004901 44007436 58009802 88014872 116019604 176029744 232039208 319053911 464078416 638107822 1276215644 2552431288 5104862576