Search a number
-
+
495608730261120 = 2735573311072801
BaseRepresentation
bin111000010110000001110011…
…0010100001001011010000000
32101222210201202112211210100000
41300230003212110021122000
51004430023134421323440
64514023301343200000
7206251356232146000
oct16054034624113200
92358721675753300
10495608730261120
11133a09533815243
1247704360ba6000
1318370919b76208
148a5583a5d6000
153c46dc16e3730
hex1c2c0e6509680

495608730261120 has 3072 divisors, whose sum is σ = 2157221154816000. Its totient is φ = 108564406272000.

The previous prime is 495608730261107. The next prime is 495608730261137. The reversal of 495608730261120 is 21162037806594.

It is a happy number.

495608730261120 is a `hidden beast` number, since 4 + 9 + 5 + 608 + 7 + 3 + 0 + 2 + 6 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×4956087302611202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176939923720 + ... + 176939926520.

It is an arithmetic number, because the mean of its divisors is an integer number (702220428000).

It is a 1-persistent number, because it is pandigital, but 2⋅495608730261120 = 991217460522240 is not.

Almost surely, 2495608730261120 is an apocalyptic number.

495608730261120 is a gapful number since it is divisible by the number (40) 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 495608730261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078610577408000).

495608730261120 is an abundant number, since it is smaller than the sum of its proper divisors (1661612424554880).

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

495608730261120 is a wasteful number, since it uses less digits than its factorization.

495608730261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 495608730261120 in words is "four hundred ninety-five trillion, six hundred eight billion, seven hundred thirty million, two hundred sixty-one thousand, one hundred twenty".