Search a number
-
+
538341682320 = 2432513311855327
BaseRepresentation
bin1111101010101111010…
…10100010110010010000
31220110112221211222112200
413311113222202302100
532310010432313240
61051151042323200
753615415540621
oct7652752426220
91813487758480
10538341682320
11198344932962
1288401659500
133b9c4789270
141c0ad479a48
15e00bc4b930
hex7d57aa2c90

538341682320 has 240 divisors, whose sum is σ = 2009810030592. Its totient is φ = 128240133120.

The previous prime is 538341682297. The next prime is 538341682327. The reversal of 538341682320 is 23286143835.

538341682320 is a `hidden beast` number, since 53 + 83 + 416 + 82 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (538341682327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637504 + ... + 1217823.

Almost surely, 2538341682320 is an apocalyptic number.

It is an amenable number.

538341682320 is an abundant number, since it is smaller than the sum of its proper divisors (1471468348272).

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

538341682320 is a wasteful number, since it uses less digits than its factorization.

538341682320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855390 (or 1855381 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 538341682320 in words is "five hundred thirty-eight billion, three hundred forty-one million, six hundred eighty-two thousand, three hundred twenty".