Search a number
-
+
499754530080 = 2533513411271709
BaseRepresentation
bin1110100010110111011…
…00001111010100100000
31202202221202022112211000
413101123230033110200
531141444124430310
61021330053552000
751051245262531
oct7213354172440
91682852275730
10499754530080
11182a434492a3
1280a32945600
13381853332c0
141a28c7a6688
15ceee2e64c0
hex745bb0f520

499754530080 has 768 divisors, whose sum is σ = 1945965772800. Its totient is φ = 119001415680.

The previous prime is 499754530043. The next prime is 499754530081. The reversal of 499754530080 is 80035457994.

499754530080 is a `hidden beast` number, since 4 + 9 + 97 + 545 + 3 + 0 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 499754529999 and 499754530026.

It is not an unprimeable number, because it can be changed into a prime (499754530081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292424266 + ... + 292425974.

It is an arithmetic number, because the mean of its divisors is an integer number (2533809600).

Almost surely, 2499754530080 is an apocalyptic number.

499754530080 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 499754530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972982886400).

499754530080 is an abundant number, since it is smaller than the sum of its proper divisors (1446211242720).

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

499754530080 is a wasteful number, since it uses less digits than its factorization.

499754530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 499754530080 in words is "four hundred ninety-nine billion, seven hundred fifty-four million, five hundred thirty thousand, eighty".