Search a number
-
+
31820547304 = 23713374383331
BaseRepresentation
bin11101101000101001…
…110000010011101000
310001010121222021210001
4131220221300103220
51010132030003204
622341304432344
72204354121640
oct355051602350
9101117867701
1031820547304
1112549962187
1262007786b4
1330015ca720
14177c14d520
15c638904a4
hex768a704e8

31820547304 has 256 divisors, whose sum is σ = 78336276480. Its totient is φ = 11783439360.

The previous prime is 31820547299. The next prime is 31820547307. The reversal of 31820547304 is 40374502813.

It is a happy number.

It is a super-2 number, since 2×318205473042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (31820547307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96134419 + ... + 96134749.

It is an arithmetic number, because the mean of its divisors is an integer number (306001080).

Almost surely, 231820547304 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 31820547304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168138240).

31820547304 is an abundant number, since it is smaller than the sum of its proper divisors (46515729176).

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

31820547304 is a wasteful number, since it uses less digits than its factorization.

31820547304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 31820547304 in words is "thirty-one billion, eight hundred twenty million, five hundred forty-seven thousand, three hundred four".