Search a number
-
+
6125010976 = 25726164037
BaseRepresentation
bin1011011010001010…
…00100000000100000
3120210212021210111101
411231011010000200
5100021000322401
62451440124144
7304532506600
oct55505040040
916725253441
106125010976
112663455447
12122b306654
13767c58766
14421670c00
1525cacd101
hex16d144020

6125010976 has 72 divisors (see below), whose sum is σ = 14257548396. Its totient is φ = 2581931520.

The previous prime is 6125010961. The next prime is 6125010989. The reversal of 6125010976 is 6790105216.

It can be written as a sum of positive squares in 2 ways, for example, as 4029202576 + 2095808400 = 63476^2 + 45780^2 .

It is a super-2 number, since 2×61250109762 = 75031518912240945152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63630 + ... + 127666.

Almost surely, 26125010976 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 6125010976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128774198).

6125010976 is an abundant number, since it is smaller than the sum of its proper divisors (8132537420).

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

6125010976 is a wasteful number, since it uses less digits than its factorization.

6125010976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64122 (or 64107 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 6125010976 is about 78262.4493355530. The cubic root of 6125010976 is about 1829.6539479235.

The spelling of 6125010976 in words is "six billion, one hundred twenty-five million, ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3416 5978 6832 11956 13664 23912 47824 64037 95648 128074 256148 448259 512296 896518 1024592 1793036 2049184 3137813 3586072 3906257 6275626 7172144 7812514 12551252 14344288 15625028 25102504 27343799 31250056 50205008 54687598 62500112 100410016 109375196 125000224 191406593 218750392 382813186 437500784 765626372 875001568 1531252744 3062505488 6125010976