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4444601364 = 22327294091487
BaseRepresentation
bin1000010001110101…
…10011110000010100
3102110202022010212100
410020322303300110
533100304220424
62013011122100
7215066326320
oct41072636024
912422263770
104444601364
111980952875
12a405a3330
1355aa7b048
14302408980
151b02e8dc9
hex108eb3c14

4444601364 has 144 divisors (see below), whose sum is σ = 13324147200. Its totient is φ = 1222276608.

The previous prime is 4444601333. The next prime is 4444601377. The reversal of 4444601364 is 4631064444.

4444601364 is a `hidden beast` number, since 4 + 4 + 44 + 601 + 3 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2988229 + ... + 2989715.

It is an arithmetic number, because the mean of its divisors is an integer number (92528800).

Almost surely, 24444601364 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 4444601364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662073600).

4444601364 is an abundant number, since it is smaller than the sum of its proper divisors (8879545836).

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

4444601364 is a wasteful number, since it uses less digits than its factorization.

4444601364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4444601364 is about 66667.8435529454. The cubic root of 4444601364 is about 1644.1607325044.

The spelling of 4444601364 in words is "four billion, four hundred forty-four million, six hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 409 522 609 812 818 1044 1218 1227 1487 1636 1827 2436 2454 2863 2974 3654 3681 4461 4908 5726 5948 7308 7362 8589 8922 10409 11452 11861 13383 14724 17178 17844 20818 23722 25767 26766 31227 34356 35583 41636 43123 47444 51534 53532 62454 71166 83027 86246 93681 103068 106749 124908 129369 142332 166054 172492 187362 213498 249081 258738 301861 332108 374724 388107 426996 498162 517476 603722 608183 747243 776214 905583 996324 1207444 1216366 1494486 1552428 1811166 1824549 2432732 2716749 2988972 3622332 3649098 4257281 5433498 5473647 7298196 8514562 10866996 10947294 12771843 17029124 17637307 21894588 25543686 35274614 38315529 51087372 52911921 70549228 76631058 105823842 123461149 153262116 158735763 211647684 246922298 317471526 370383447 493844596 634943052 740766894 1111150341 1481533788 2222300682 4444601364