Search a number
-
+
5125764064 = 25199778629
BaseRepresentation
bin1001100011000010…
…01111001111100000
3111020020000210102111
410301201033033200
540444143422224
62204342525104
7241010163361
oct46141171740
914206023374
105125764064
1121a03a6453
12bb0736794
13638c232b5
14368a7bb68
151eeee9d94
hex13184f3e0

5125764064 has 48 divisors (see below), whose sum is σ = 10634576400. Its totient is φ = 2425227264.

The previous prime is 5125764043. The next prime is 5125764067. The reversal of 5125764064 is 4604675215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125764067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589702 + ... + 598330.

It is an arithmetic number, because the mean of its divisors is an integer number (221553675).

Almost surely, 25125764064 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 5125764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317288200).

5125764064 is an abundant number, since it is smaller than the sum of its proper divisors (5508812336).

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

5125764064 is a wasteful number, since it uses less digits than its factorization.

5125764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5125764064 is about 71594.4415719545. The cubic root of 5125764064 is about 1724.1942958902.

The spelling of 5125764064 in words is "five billion, one hundred twenty-five million, seven hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 977 1954 3908 7816 8629 15632 17258 18563 31264 34516 37126 69032 74252 138064 148504 163951 276128 297008 327902 594016 655804 1311608 2623216 5246432 8430533 16861066 33722132 67444264 134888528 160180127 269777056 320360254 640720508 1281441016 2562882032 5125764064