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4412616054 = 2371143389571
BaseRepresentation
bin1000001110000001…
…10010110101110110
3102101112010010021020
410013000302311312
533014112203204
62005505402010
7214230421560
oct40700626566
912345103236
104412616054
111964896830
12a31939306
1355425c522
142dc080330
151ac5cbbd9
hex107032d76

4412616054 has 128 divisors (see below), whose sum is σ = 11307479040. Its totient is φ = 1114646400.

The previous prime is 4412616037. The next prime is 4412616083. The reversal of 4412616054 is 4506162144.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7727589 + ... + 7728159.

It is an arithmetic number, because the mean of its divisors is an integer number (88339680).

Almost surely, 24412616054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412616054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653739520).

4412616054 is an abundant number, since it is smaller than the sum of its proper divisors (6894862986).

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

4412616054 is a wasteful number, since it uses less digits than its factorization.

4412616054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4412616054 is about 66427.5248221699. The cubic root of 4412616054 is about 1640.2071984396.

Adding to 4412616054 its reverse (4506162144), we get a palindrome (8918778198).

The spelling of 4412616054 in words is "four billion, four hundred twelve million, six hundred sixteen thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 389 462 473 571 602 778 903 946 1142 1167 1419 1713 1806 2334 2723 2838 3311 3426 3997 4279 5446 6281 6622 7994 8169 8558 9933 11991 12562 12837 16338 16727 18843 19866 23982 24553 25674 29953 33454 37686 43967 49106 50181 59906 73659 87934 89859 100362 117089 131901 147318 171871 179718 183997 222119 234178 263802 270083 343742 351267 367994 444238 515613 540166 551991 666357 702534 810249 1031226 1103982 1287979 1332714 1554833 1620498 1890581 2443309 2575958 3109666 3781162 3863937 4664499 4886618 5671743 7329927 7727874 9328998 9551117 11343486 14659854 17103163 19102234 28653351 34206326 51309489 57306702 66857819 102618978 105062287 133715638 200573457 210124574 315186861 401146914 630373722 735436009 1470872018 2206308027 4412616054