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4413124544 = 26416179349
BaseRepresentation
bin1000001110000101…
…01110111111000000
3102101120001221210012
410013002232333000
533014224441134
62005524324052
7214234640213
oct40702567700
912346057705
104413124544
111965103874
12a31b43628
135543a9aca
142dc17377a
151ac67c6ce
hex1070aefc0

4413124544 has 112 divisors (see below), whose sum is σ = 9259824000. Its totient is φ = 2084659200.

The previous prime is 4413124531. The next prime is 4413124627. The reversal of 4413124544 is 4454213144.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4413124544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12644882 + ... + 12645230.

It is an arithmetic number, because the mean of its divisors is an integer number (82677000).

Almost surely, 24413124544 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 4413124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629912000).

4413124544 is an abundant number, since it is smaller than the sum of its proper divisors (4846699456).

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

4413124544 is a wasteful number, since it uses less digits than its factorization.

4413124544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 4413124544 is about 66431.3521163012. The cubic root of 4413124544 is about 1640.2701993831.

Adding to 4413124544 its reverse (4454213144), we get a palindrome (8867337688).

The spelling of 4413124544 in words is "four billion, four hundred thirteen million, one hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 41 61 64 79 82 122 158 164 244 316 328 349 488 632 656 698 976 1264 1312 1396 1952 2501 2528 2624 2792 3239 3904 4819 5002 5056 5584 6478 9638 10004 11168 12956 14309 19276 20008 21289 22336 25912 27571 28618 38552 40016 42578 51824 55142 57236 77104 80032 85156 103648 110284 114472 154208 160064 170312 197579 207296 220568 228944 308416 340624 395158 441136 457888 681248 790316 872849 882272 915776 1130411 1362496 1580632 1681831 1745698 1764544 2260822 3161264 3363662 3491396 4521644 6322528 6727324 6982792 9043288 12645056 13454648 13965584 18086576 26909296 27931168 36173152 53818592 55862336 68955071 72346304 107637184 137910142 275820284 551640568 1103281136 2206562272 4413124544