Search a number
-
+
815913830495280 = 2435112378539171091
BaseRepresentation
bin1011100110000100011011111…
…0000010001011010000110000
310221222220121012201011122120110
42321201012332002023100300
51323420413011101322110
612011145350022341320
7333600554222116566
oct27141067602132060
93858817181148513
10815913830495280
11216a80126537450
1277615696b8a840
1329036461c1549a
141056a623901a36
15644dbd01eca20
hex2e611be08b430

815913830495280 has 320 divisors, whose sum is σ = 2879294073384960. Its totient is φ = 189193895193600.

The previous prime is 815913830495249. The next prime is 815913830495287. The reversal of 815913830495280 is 82594038319518.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (815913830495287) 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, 4768802535 + ... + 4768973625.

It is an arithmetic number, because the mean of its divisors is an integer number (8997793979328).

Almost surely, 2815913830495280 is an apocalyptic number.

815913830495280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815913830495280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439647036692480).

815913830495280 is an abundant number, since it is smaller than the sum of its proper divisors (2063380242889680).

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

815913830495280 is a wasteful number, since it uses less digits than its factorization.

815913830495280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249680 (or 249674 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 815913830495280 in words is "eight hundred fifteen trillion, nine hundred thirteen billion, eight hundred thirty million, four hundred ninety-five thousand, two hundred eighty".