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4613116420 = 22511291017159
BaseRepresentation
bin1000100101111011…
…01001001000000100
3102220111101121001201
410102331221020010
533421424211140
62041431032244
7222213562003
oct42275511004
912814347051
104613116420
111a57a90710
12a88b0b684
135869604b3
1431a952c3a
151beed449a
hex112f69204

4613116420 has 96 divisors (see below), whose sum is σ = 11042438400. Its totient is φ = 1603392000.

The previous prime is 4613116363. The next prime is 4613116427. The reversal of 4613116420 is 246113164.

It is not an unprimeable number, because it can be changed into a prime (4613116427) 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 31 ways as a sum of consecutive naturals, for example, 640801 + ... + 647959.

It is an arithmetic number, because the mean of its divisors is an integer number (115025400).

Almost surely, 24613116420 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 4613116420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521219200).

4613116420 is an abundant number, since it is smaller than the sum of its proper divisors (6429321980).

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

4613116420 is a wasteful number, since it uses less digits than its factorization.

4613116420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4613116420 is about 67919.9265311735. The cubic root of 4613116420 is about 1664.6827208235.

Adding to 4613116420 its reverse (246113164), we get a palindrome (4859229584).

The spelling of 4613116420 in words is "four billion, six hundred thirteen million, one hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3190 4444 5555 5858 6380 7159 11110 11716 14318 14645 22220 28636 29290 32219 35795 58580 64438 71590 78749 128876 143180 157498 161095 207611 314996 322190 393745 415222 644380 723059 787490 830444 1038055 1446118 1574980 2076110 2283721 2892236 3615295 4152220 4567442 7230590 7953649 9134884 11418605 14461180 15907298 20968711 22837210 31814596 39768245 41937422 45674420 79536490 83874844 104843555 159072980 209687110 230655821 419374220 461311642 922623284 1153279105 2306558210 4613116420