Search a number
-
+
41704775892 = 223213531918803
BaseRepresentation
bin100110110101110011…
…000110000011010100
310222122110220010101100
4212311303012003110
51140402410312032
631054154030100
73004324513623
oct466563060324
9128573803340
1041704775892
111676129343a
1280baa18330
133c183118b0
142038b776ba
1511414d097c
hex9b5cc60d4

41704775892 has 144 divisors (see below), whose sum is σ = 116290556928. Its totient is φ = 12522781440.

The previous prime is 41704775891. The next prime is 41704775897. The reversal of 41704775892 is 29857740714.

41704775892 is a `hidden beast` number, since 4 + 17 + 0 + 47 + 7 + 589 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41704775891) 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 47 ways as a sum of consecutive naturals, for example, 4733163 + ... + 4741965.

It is an arithmetic number, because the mean of its divisors is an integer number (807573312).

Almost surely, 241704775892 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 41704775892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58145278464).

41704775892 is an abundant number, since it is smaller than the sum of its proper divisors (74585781036).

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

41704775892 is a wasteful number, since it uses less digits than its factorization.

41704775892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 41704775892 in words is "forty-one billion, seven hundred four million, seven hundred seventy-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 191 212 234 318 382 468 477 573 636 689 764 954 1146 1378 1719 1908 2067 2292 2483 2756 3438 4134 4966 6201 6876 7449 8268 8803 9932 10123 12402 14898 17606 20246 22347 24804 26409 29796 30369 35212 40492 44694 52818 60738 79227 89388 91107 105636 114439 121476 131599 158454 182214 228878 263198 316908 343317 364428 394797 457756 466559 526396 686634 789594 933118 1029951 1184391 1373268 1399677 1579188 1681373 1866236 2059902 2368782 2799354 3362746 4119804 4199031 4737564 5044119 5598708 6065267 6725492 8398062 10088238 12130534 15132357 16796124 18195801 20176476 21857849 24261068 30264714 36391602 43715698 54587403 60529428 65573547 72783204 87431396 89112769 109174806 131147094 178225538 196720641 218349612 262294188 267338307 356451076 393441282 534676614 786882564 802014921 1069353228 1158465997 1604029842 2316931994 3208059684 3475397991 4633863988 6950795982 10426193973 13901591964 20852387946 41704775892