Search a number
-
+
41580802592 = 257242162989
BaseRepresentation
bin100110101110011010…
…001011001000100000
310222022211121121222122
4212232122023020200
51140124141140332
631034004523412
73001260663500
oct465632131040
9128284547878
1041580802592
11166a830846a
1280853b0568
133bc8726304
142026505a00
151135692c12
hex9ae68b220

41580802592 has 72 divisors (see below), whose sum is σ = 95455171980. Its totient is φ = 17777733120.

The previous prime is 41580802579. The next prime is 41580802607. The reversal of 41580802592 is 29520808514.

It can be written as a sum of positive squares in 2 ways, for example, as 26492119696 + 15088682896 = 162764^2 + 122836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628634 + ... + 691622.

Almost surely, 241580802592 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 41580802592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47727585990).

41580802592 is an abundant number, since it is smaller than the sum of its proper divisors (53874369388).

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

41580802592 is a wasteful number, since it uses less digits than its factorization.

41580802592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63434 (or 63419 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 41580802592 in words is "forty-one billion, five hundred eighty million, eight hundred two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 421 784 842 1568 1684 2947 3368 5894 6736 11788 13472 20629 23576 41258 47152 62989 82516 94304 125978 165032 251956 330064 440923 503912 660128 881846 1007824 1763692 2015648 3086461 3527384 6172922 7054768 12345844 14109536 24691688 26518369 49383376 53036738 98766752 106073476 185628583 212146952 371257166 424293904 742514332 848587808 1299400081 1485028664 2598800162 2970057328 5197600324 5940114656 10395200648 20790401296 41580802592