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4134926544 = 243729191913
BaseRepresentation
bin1111011001110101…
…1111100011010000
3101200011121000212120
43312131133203100
531432020122134
61522145454240
7204316203300
oct36635374320
911604530776
104134926544
111832070571
12974941380
1350b8736c8
142b3237600
15193028649
hexf675f8d0

4134926544 has 120 divisors (see below), whose sum is σ = 12445899840. Its totient is φ = 1179505152.

The previous prime is 4134926539. The next prime is 4134926563. The reversal of 4134926544 is 4456294314.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4134926496 and 4134926505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160532 + ... + 2162444.

It is an arithmetic number, because the mean of its divisors is an integer number (103715832).

Almost surely, 24134926544 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 4134926544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222949920).

4134926544 is an abundant number, since it is smaller than the sum of its proper divisors (8310973296).

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

4134926544 is a wasteful number, since it uses less digits than its factorization.

4134926544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2844 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 4134926544 is about 64303.3944982689. The cubic root of 4134926544 is about 1605.0525882168.

The spelling of 4134926544 in words is "four billion, one hundred thirty-four million, nine hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 919 1176 1838 1913 2352 2757 3676 3826 5514 5739 6433 7352 7652 11028 11478 12866 13391 14704 15304 19299 22056 22956 25732 26782 30608 38598 40173 44112 45031 45912 51464 53564 77196 80346 90062 91824 93737 102928 107128 135093 154392 160692 180124 187474 214256 270186 281211 308784 321384 360248 374948 540372 562422 642768 720496 749896 1080744 1124844 1499792 1758047 2161488 2249688 3516094 4499376 5274141 7032188 10548282 12306329 14064376 21096564 24612658 28128752 36918987 42193128 49225316 73837974 84386256 86144303 98450632 147675948 172288606 196901264 258432909 295351896 344577212 516865818 590703792 689154424 1033731636 1378308848 2067463272 4134926544