Search a number
-
+
495542398104 = 23361353123323
BaseRepresentation
bin1110011011000001010…
…00001110110010011000
31202101002012110002000000
413031200220032302120
531104332323214404
61015352105213000
750542000612425
oct7154050166230
91671065402000
10495542398104
11181181846196
1280058191160
133796379a510
1419dad1d2d4c
15cd5461c339
hex7360a0ec98

495542398104 has 224 divisors, whose sum is σ = 1528554116880. Its totient is φ = 149596492032.

The previous prime is 495542398103. The next prime is 495542398151. The reversal of 495542398104 is 401893245594.

It is a happy number.

495542398104 is a `hidden beast` number, since 4 + 9 + 5 + 542 + 3 + 98 + 1 + 0 + 4 = 666.

It is a super-3 number, since 3×4955423981043 (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495542398103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3956587 + ... + 4079909.

Almost surely, 2495542398104 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 495542398104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764277058440).

495542398104 is an abundant number, since it is smaller than the sum of its proper divisors (1033011718776).

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

495542398104 is a wasteful number, since it uses less digits than its factorization.

495542398104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123413 (or 123394 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 495542398104 in words is "four hundred ninety-five billion, five hundred forty-two million, three hundred ninety-eight thousand, one hundred four".