Search a number
-
+
494058372696 = 23337461708803
BaseRepresentation
bin1110011000010000010…
…11000111111001011000
31202020020202222202212000
413030020023013321120
531043312420411241
61014544533321000
750460140606640
oct7141013077130
91666222882760
10494058372696
11180590086a09
127b903196160
13377881ac385
1419cac08b520
15ccb91caeb6
hex73082c7e58

494058372696 has 128 divisors (see below), whose sum is σ = 1571843750400. Its totient is φ = 140853133440.

The previous prime is 494058372679. The next prime is 494058372707. The reversal of 494058372696 is 696273850494.

494058372696 is a `hidden beast` number, since 4 + 9 + 40 + 583 + 7 + 2 + 6 + 9 + 6 = 666.

It is a super-3 number, since 3×4940583726963 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342631 + ... + 1051433.

It is an arithmetic number, because the mean of its divisors is an integer number (12280029300).

Almost surely, 2494058372696 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 494058372696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785921875200).

494058372696 is an abundant number, since it is smaller than the sum of its proper divisors (1077785377704).

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

494058372696 is a wasteful number, since it uses less digits than its factorization.

494058372696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709286 (or 709276 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 494058372696 in words is "four hundred ninety-four billion, fifty-eight million, three hundred seventy-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 461 504 756 922 1383 1512 1844 2766 3227 3688 4149 5532 6454 8298 9681 11064 12447 12908 16596 19362 24894 25816 29043 33192 38724 49788 58086 77448 87129 99576 116172 174258 232344 348516 697032 708803 1417606 2126409 2835212 4252818 4961621 5670424 6379227 8505636 9923242 12758454 14884863 17011272 19137681 19846484 25516908 29769726 38275362 39692968 44654589 51033816 59539452 76550724 89309178 119078904 133963767 153101448 178618356 267927534 326758183 357236712 535855068 653516366 980274549 1071710136 1307032732 1960549098 2287307281 2614065464 2940823647 3921098196 4574614562 5881647294 6861921843 7842196392 8822470941 9149229124 11763294588 13723843686 17644941882 18298458248 20585765529 23526589176 27447687372 35289883764 41171531058 54895374744 61757296587 70579767528 82343062116 123514593174 164686124232 247029186348 494058372696