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42950904516 = 223213226572
BaseRepresentation
bin101000000000000100…
…101100101011000100
311002212022201000111100
4220000010230223010
51200430412421031
631421550540100
73050235443652
oct500004545304
9132768630440
1042950904516
1117240736303
1283a8207630
134086537300
142116473dd2
1511b5acdde6
hexa0012cac4

42950904516 has 81 divisors (see below), whose sum is σ = 117608598471. Its totient is φ = 13210689024.

The previous prime is 42950904497. The next prime is 42950904523. The reversal of 42950904516 is 61540905924.

The square root of 42950904516 is 207246.

It is a perfect power (a square), and thus also a powerful number.

42950904516 is a `hidden beast` number, since 42 + 9 + 5 + 0 + 90 + 4 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2356714116 + 40594190400 = 48546^2 + 201480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16163860 + ... + 16166516.

Almost surely, 242950904516 is an apocalyptic number.

42950904516 is the 207246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42950904516

42950904516 is an abundant number, since it is smaller than the sum of its proper divisors (74657693955).

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

42950904516 is a wasteful number, since it uses less digits than its factorization.

42950904516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42950904516 in words is "forty-two billion, nine hundred fifty million, nine hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2657 3042 5314 6084 7971 10628 15942 23913 31884 34541 47826 69082 95652 103623 138164 207246 310869 414492 449033 621738 898066 1243476 1347099 1796132 2694198 4041297 5388396 7059649 8082594 14119298 16165188 21178947 28238596 42357894 63536841 84715788 91775437 127073682 183550874 254147364 275326311 367101748 550652622 825978933 1101305244 1193080681 1651957866 2386161362 3303915732 3579242043 4772322724 7158484086 10737726129 14316968172 21475452258 42950904516