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4106514016 = 2511171136073
BaseRepresentation
bin1111010011000100…
…0110111001100000
3101121012010112012201
43310301012321200
531402231422031
61515252502544
7203522536033
oct36461067140
911535115181
104106514016
111818024840
1296731aa54
13505a06167
142ad55d01a
151907b4d61
hexf4c46e60

4106514016 has 96 divisors (see below), whose sum is σ = 9422669088. Its totient is φ = 1740963840.

The previous prime is 4106514011. The next prime is 4106514019. The reversal of 4106514016 is 6104156014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106514011) 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, 673156 + ... + 679228.

It is an arithmetic number, because the mean of its divisors is an integer number (98152803).

Almost surely, 24106514016 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 4106514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711334544).

4106514016 is an abundant number, since it is smaller than the sum of its proper divisors (5316155072).

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

4106514016 is a wasteful number, since it uses less digits than its factorization.

4106514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4106514016 is about 64082.0881058038. The cubic root of 4106514016 is about 1601.3678427956.

The spelling of 4106514016 in words is "four billion, one hundred six million, five hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 113 136 176 187 226 272 352 374 452 544 748 904 1243 1496 1808 1921 2486 2992 3616 3842 4972 5984 6073 7684 9944 12146 15368 19888 21131 24292 30736 39776 42262 48584 61472 66803 84524 97168 103241 133606 169048 194336 206482 267212 338096 412964 534424 676192 686249 825928 1068848 1135651 1372498 1651856 2137696 2271302 2744996 3303712 4542604 5489992 7548739 9085208 10979984 11666233 15097478 18170416 21959968 23332466 30194956 36340832 46664932 60389912 93329864 120779824 128328563 186659728 241559648 256657126 373319456 513314252 1026628504 2053257008 4106514016