Search a number
-
+
498164025436 = 22731173452171
BaseRepresentation
bin1110011111111001110…
…00111100100001011100
31202121211220111112121121
413033330320330201130
531130214442303221
61020504155540324
750663653231000
oct7177470744134
91677756445547
10498164025436
111822a7672650
128066a15a6a4
1337c909734ac
141a17b464700
15ce59870a41
hex73fce3c85c

498164025436 has 96 divisors (see below), whose sum is σ = 1124280460800. Its totient is φ = 191430691200.

The previous prime is 498164025431. The next prime is 498164025439. The reversal of 498164025436 is 634520461894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498164025431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875631 + ... + 1327801.

It is an arithmetic number, because the mean of its divisors is an integer number (11711254800).

Almost surely, 2498164025436 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 498164025436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562140230400).

498164025436 is an abundant number, since it is smaller than the sum of its proper divisors (626116435364).

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

498164025436 is a wasteful number, since it uses less digits than its factorization.

498164025436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452280 (or 452264 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 498164025436 in words is "four hundred ninety-eight billion, one hundred sixty-four million, twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 73 77 98 146 154 196 292 308 343 511 539 686 803 1022 1078 1372 1606 2044 2156 3212 3577 3773 5621 7154 7546 11242 14308 15092 22484 25039 39347 50078 78694 100156 157388 275429 452171 550858 904342 1101716 1808684 3165197 4973881 6330394 9947762 12660788 19895524 22156379 33008483 34817167 44312758 66016966 69634334 88625516 132033932 139268668 155094653 231059381 243720169 310189306 363093313 462118762 487440338 620378612 726186626 924237524 974880676 1452373252 1617415667 1706041183 2541653191 3234831334 3412082366 5083306382 6469662668 6824164732 10166612764 11321909669 17791572337 22643819338 35583144674 45287638676 71166289348 124541006359 249082012718 498164025436