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4411330816 = 28172344071
BaseRepresentation
bin1000001101110111…
…11001000100000000
3102101102200211020211
410012323321010000
533013300041231
62005422043504
7214213456534
oct40673710400
912342624224
104411330816
111964099152
12a31419594
13553bcc529
142dbc27bc4
151ac425eb1
hex106ef9100

4411330816 has 72 divisors (see below), whose sum is σ = 9728982144. Its totient is φ = 1985617920.

The previous prime is 4411330813. The next prime is 4411330897. The reversal of 4411330816 is 6180331144.

It is a hoax number, since the sum of its digits (31) 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 (4411330813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78061 + ... + 122131.

It is an arithmetic number, because the mean of its divisors is an integer number (135124752).

Almost surely, 24411330816 is an apocalyptic number.

4411330816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864491072).

4411330816 is an abundant number, since it is smaller than the sum of its proper divisors (5317651328).

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

4411330816 is a wasteful number, since it uses less digits than its factorization.

4411330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44127 (or 44113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4411330816 is about 66417.8501308195. The cubic root of 4411330816 is about 1640.0479383171.

The spelling of 4411330816 in words is "four billion, four hundred eleven million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 4352 5888 6256 12512 25024 44071 50048 88142 100096 176284 352568 705136 749207 1013633 1410272 1498414 2027266 2820544 2996828 4054532 5641088 5993656 8109064 11282176 11987312 16218128 17231761 23974624 32436256 34463522 47949248 64872512 68927044 95898496 129745024 137854088 191796992 259490048 275708176 551416352 1102832704 2205665408 4411330816