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3744727168 = 27713595449
BaseRepresentation
bin1101111100110100…
…0000000010000000
3100122222100211221211
43133031000002000
530132122232133
61415330255504
7161540440630
oct33715000200
910588324854
103744727168
111651889a46
12886127594
13478a83cc0
142774a46c0
1516db4dbcd
hexdf340080

3744727168 has 128 divisors (see below), whose sum is σ = 9339120000. Its totient is φ = 1456054272.

The previous prime is 3744727163. The next prime is 3744727199. The reversal of 3744727168 is 8617274473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3744727163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684508 + ... + 689956.

It is an arithmetic number, because the mean of its divisors is an integer number (72961875).

Almost surely, 23744727168 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 3744727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669560000).

3744727168 is an abundant number, since it is smaller than the sum of its proper divisors (5594392832).

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

3744727168 is a wasteful number, since it uses less digits than its factorization.

3744727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5530 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 49.

The square root of 3744727168 is about 61194.1759320280. The cubic root of 3744727168 is about 1552.8877374182.

The spelling of 3744727168 in words is "three billion, seven hundred forty-four million, seven hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 64 91 104 112 118 128 182 208 224 236 364 413 416 448 472 728 767 826 832 896 944 1456 1534 1652 1664 1888 2912 3068 3304 3776 5369 5449 5824 6136 6608 7552 10738 10898 11648 12272 13216 21476 21796 24544 26432 38143 42952 43592 49088 52864 70837 76286 85904 87184 98176 141674 152572 171808 174368 283348 305144 321491 343616 348736 495859 566696 610288 642982 687232 697472 991718 1133392 1220576 1285964 1983436 2250437 2266784 2441152 2571928 3966872 4179383 4500874 4533568 4882304 5143856 7933744 8358766 9001748 9067136 10287712 15867488 16717532 18003496 20575424 29255681 31734976 33435064 36006992 41150848 58511362 63469952 66870128 72013984 117022724 133740256 144027968 234045448 267480512 288055936 468090896 534961024 936181792 1872363584 3744727168