Search a number
-
+
495343506924 = 2233731971931129
BaseRepresentation
bin1110011010101001100…
…01100001010111101100
31202100120100012100121000
413031110301201113230
531103430414210144
61015320242240300
750534034223650
oct7152461412754
91670510170530
10495343506924
1118108a550312
1280001656090
1337931510b26
1419d90a1ca60
15cd41e31769
hex7354c615ec

495343506924 has 384 divisors, whose sum is σ = 1539941580800. Its totient is φ = 134727598080.

The previous prime is 495343506923. The next prime is 495343506947. The reversal of 495343506924 is 429605343594.

495343506924 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 43 + 506 + 92 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (495343506923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 438744792 + ... + 438745920.

Almost surely, 2495343506924 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 495343506924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769970790400).

495343506924 is an abundant number, since it is smaller than the sum of its proper divisors (1044598073876).

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

495343506924 is a wasteful number, since it uses less digits than its factorization.

495343506924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 495343506924 in words is "four hundred ninety-five billion, three hundred forty-three million, five hundred six thousand, nine hundred twenty-four".