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494200762972 = 227176176922133
BaseRepresentation
bin1110011000100001010…
…10010011001001011100
31202020121200220221120221
413030100222103021130
531044110343403342
61015011021251124
750463520113640
oct7142052231134
91666550827527
10494200762972
111806534a0924
127b942a03aa4
13377ab845687
1419cc2d54c20
15ccc6955a67
hex7310a9325c

494200762972 has 96 divisors (see below), whose sum is σ = 1065130577280. Its totient is φ = 195809771520.

The previous prime is 494200762969. The next prime is 494200762973. The reversal of 494200762972 is 279267002494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494200762973) 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 31 ways as a sum of consecutive naturals, for example, 22317618 + ... + 22339750.

It is an arithmetic number, because the mean of its divisors is an integer number (11095110180).

Almost surely, 2494200762972 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 494200762972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532565288640).

494200762972 is an abundant number, since it is smaller than the sum of its proper divisors (570929814308).

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

494200762972 is a wasteful number, since it uses less digits than its factorization.

494200762972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22989 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 494200762972 in words is "four hundred ninety-four billion, two hundred million, seven hundred sixty-two thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 427 476 769 854 1037 1538 1708 2074 3076 4148 5383 7259 10766 13073 14518 21532 22133 26146 29036 44266 46909 52292 88532 91511 93818 154931 183022 187636 309862 328363 366044 376261 619724 656726 752522 797453 1313452 1350113 1505044 1594906 2633827 2700226 3189812 5267654 5400452 5582171 9450791 10535308 11164342 17020277 18901582 22328684 22951921 34040554 37803164 45903842 68081108 91807684 119141939 160663447 238283878 289344709 321326894 476567756 578689418 642653788 1038236897 1157378836 2025412963 2076473794 4050825926 4152947588 7267658279 8101651852 14535316558 17650027249 29070633116 35300054498 70600108996 123550190743 247100381486 494200762972