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4412421648 = 243313177969
BaseRepresentation
bin1000001110000000…
…00011011000010000
3102101111202020121000
410013000003120100
533014034443043
62005501302000
7214225652025
oct40700033020
912344666530
104412421648
111964773768
12a31864900
135541c1bab
142dc02d54c
151ac58e2d3
hex107003610

4412421648 has 80 divisors (see below), whose sum is σ = 12762129600. Its totient is φ = 1459560960.

The previous prime is 4412421647. The next prime is 4412421677. The reversal of 4412421648 is 8461242144.

4412421648 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 4 + 2 + 1 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4412421647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17608 + ... + 95576.

It is an arithmetic number, because the mean of its divisors is an integer number (159526620).

Almost surely, 24412421648 is an apocalyptic number.

4412421648 is a gapful number since it is divisible by the number (48) 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 4412421648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381064800).

4412421648 is an abundant number, since it is smaller than the sum of its proper divisors (8349707952).

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

4412421648 is a wasteful number, since it uses less digits than its factorization.

4412421648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78117 (or 78105 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4412421648 is about 66426.0615120301. The cubic root of 4412421648 is about 1640.1831106272.

The spelling of 4412421648 in words is "four billion, four hundred twelve million, four hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 28296 56592 77969 155938 233907 311876 467814 623752 701721 935628 1247504 1403442 1871256 2105163 2806884 3742512 4210326 5613768 8420652 10213939 11227536 16841304 20427878 30641817 33682608 40855756 61283634 81711512 91925451 122567268 163423024 183850902 245134536 275776353 367701804 490269072 551552706 735403608 1103105412 1470807216 2206210824 4412421648