Search a number
-
+
3137875000 = 2356131931
BaseRepresentation
bin1011101100001000…
…0010110000111000
322002200110120021121
42323002002300320
522411244000000
61235211315024
7140521332421
oct27302026070
98080416247
103137875000
111370280a27
12736a4ba74
133b0129590
1421aa56648
1513572ab1a
hexbb082c38

3137875000 has 112 divisors (see below), whose sum is σ = 7924117320. Its totient is φ = 1158000000.

The previous prime is 3137874983. The next prime is 3137875001. The reversal of 3137875000 is 5787313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137875001) 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 27 ways as a sum of consecutive naturals, for example, 1624035 + ... + 1625965.

Almost surely, 23137875000 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 3137875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962058660).

3137875000 is an abundant number, since it is smaller than the sum of its proper divisors (4786242320).

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

3137875000 is an equidigital number, since it uses as much as digits as its factorization.

3137875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 3137875000 is about 56016.7385698239. The cubic root of 3137875000 is about 1464.0139435004.

The spelling of 3137875000 in words is "three billion, one hundred thirty-seven million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 1931 2500 2600 3125 3250 3862 5000 6250 6500 7724 8125 9655 12500 13000 15448 15625 16250 19310 25000 25103 31250 32500 38620 40625 48275 50206 62500 65000 77240 81250 96550 100412 125000 125515 162500 193100 200824 203125 241375 251030 325000 386200 406250 482750 502060 627575 812500 965500 1004120 1206875 1255150 1625000 1931000 2413750 2510300 3137875 4827500 5020600 6034375 6275750 9655000 12068750 12551500 15689375 24137500 25103000 30171875 31378750 48275000 60343750 62757500 78446875 120687500 125515000 156893750 241375000 313787500 392234375 627575000 784468750 1568937500 3137875000