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3641816412 = 223213192317807
BaseRepresentation
bin1101100100010001…
…1011010101011100
3100101210201102221100
43121010123111130
524424301111122
61401212433100
7156150633363
oct33104332534
910353642840
103641816412
1115a978a633
12857778790
13460661670
142679567da
15164ac1aac
hexd911b55c

3641816412 has 144 divisors (see below), whose sum is σ = 10889948160. Its totient is φ = 1015369344.

The previous prime is 3641816411. The next prime is 3641816413. The reversal of 3641816412 is 2146181463.

3641816412 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 8 + 1 + 641 + 2 = 666.

3641816412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3641816411) and next prime (3641816413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641816411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195613 + ... + 213419.

It is an arithmetic number, because the mean of its divisors is an integer number (75624640).

Almost surely, 23641816412 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 3641816412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444974080).

3641816412 is an abundant number, since it is smaller than the sum of its proper divisors (7248131748).

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

3641816412 is a wasteful number, since it uses less digits than its factorization.

3641816412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17872 (or 17867 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3641816412 is about 60347.4640063690. The cubic root of 3641816412 is about 1538.5301672695.

Adding to 3641816412 its reverse (2146181463), we get a palindrome (5787997875).

The spelling of 3641816412 in words is "three billion, six hundred forty-one million, eight hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 69 76 78 92 114 117 138 156 171 207 228 234 247 276 299 342 414 437 468 494 598 684 741 828 874 897 988 1196 1311 1482 1748 1794 2223 2622 2691 2964 3588 3933 4446 5244 5382 5681 7866 8892 10764 11362 15732 17043 17807 22724 34086 35614 51129 53421 68172 71228 102258 106842 160263 204516 213684 231491 320526 338333 409561 462982 641052 676666 694473 819122 925964 1014999 1228683 1353332 1388946 1638244 2029998 2083419 2457366 2777892 3044997 3686049 4059996 4166838 4398329 4914732 5324293 6089994 7372098 7781659 8333676 8796658 10648586 12179988 13194987 14744196 15563318 15972879 17593316 21297172 23344977 26389974 31126636 31945758 39584961 46689954 47918637 52779948 63891516 70034931 79169922 93379908 95837274 101161567 140069862 158339844 191674548 202323134 280139724 303484701 404646268 606969402 910454103 1213938804 1820908206 3641816412