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4161891328 = 21071930559
BaseRepresentation
bin1111100000010001…
…0110110000000000
3101202001022222121021
43320010112300000
532010421010303
61524551435224
7205064330650
oct37004266000
911661288537
104161891328
111846308611
12981985b14
13514324cba
142b6a56360
151955a2ebd
hexf8116c00

4161891328 has 88 divisors (see below), whose sum is σ = 10009011200. Its totient is φ = 1689735168.

The previous prime is 4161891319. The next prime is 4161891341. The reversal of 4161891328 is 8231981614.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120913 + ... + 151471.

Almost surely, 24161891328 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 4161891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004505600).

4161891328 is an abundant number, since it is smaller than the sum of its proper divisors (5847119872).

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

4161891328 is a wasteful number, since it uses less digits than its factorization.

4161891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30605 (or 30587 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 4161891328 is about 64512.7222181796. The cubic root of 4161891328 is about 1608.5340008409.

The spelling of 4161891328 in words is "four billion, one hundred sixty-one million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2128 2432 3584 4256 4864 7168 8512 9728 17024 19456 30559 34048 61118 68096 122236 136192 213913 244472 427826 488944 580621 855652 977888 1161242 1711304 1955776 2322484 3422608 3911552 4064347 4644968 6845216 7823104 8128694 9289936 13690432 15646208 16257388 18579872 27380864 31292416 32514776 37159744 54761728 65029552 74319488 109523456 130059104 148638976 219046912 260118208 297277952 520236416 594555904 1040472832 2080945664 4161891328