Search a number
-
+
6125338632 = 233736799347
BaseRepresentation
bin1011011010001100…
…10100000000001000
3120210212220102221210
411231012110000020
5100021041314012
62451451133120
7304535343060
oct55506240010
916725812853
106125338632
112663659636
12122b4441a0
1376804193a
144217183a0
1525cb4523c
hex16d194008

6125338632 has 64 divisors (see below), whose sum is σ = 17548830720. Its totient is φ = 1745310528.

The previous prime is 6125338619. The next prime is 6125338657. The reversal of 6125338632 is 2368335216.

It is an unprimeable number.

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, 11983 + ... + 111329.

It is an arithmetic number, because the mean of its divisors is an integer number (274200480).

Almost surely, 26125338632 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 6125338632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774415360).

6125338632 is an abundant number, since it is smaller than the sum of its proper divisors (11423492088).

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

6125338632 is a wasteful number, since it uses less digits than its factorization.

6125338632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99730 (or 99726 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 6125338632 is about 78264.5426230806. The cubic root of 6125338632 is about 1829.6865729754.

The spelling of 6125338632 in words is "six billion, one hundred twenty-five million, three hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 367 734 1101 1468 2202 2569 2936 4404 5138 7707 8808 10276 15414 20552 30828 61656 99347 198694 298041 397388 596082 695429 794776 1192164 1390858 2086287 2384328 2781716 4172574 5563432 8345148 16690296 36460349 72920698 109381047 145841396 218762094 255222443 291682792 437524188 510444886 765667329 875048376 1020889772 1531334658 2041779544 3062669316 6125338632