Search a number
-
+
4118747136 = 21137213681
BaseRepresentation
bin1111010101111111…
…0001100000000000
3101122001011000220020
43311133301200000
531413344402021
61520411013440
7204031526100
oct36537614000
911561130806
104118747136
111823a1a759
1296b43a280
135083ca2aa
142b1025200
151918ce7c6
hexf57f1800

4118747136 has 144 divisors (see below), whose sum is σ = 12774336120. Its totient is φ = 1176698880.

The previous prime is 4118746999. The next prime is 4118747137. The reversal of 4118747136 is 6317478114.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118747137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294216 + ... + 307896.

Almost surely, 24118747136 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 4118747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387168060).

4118747136 is an abundant number, since it is smaller than the sum of its proper divisors (8655588984).

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

4118747136 is a wasteful number, since it uses less digits than its factorization.

4118747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13693 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 4118747136 is about 64177.4659518433. The cubic root of 4118747136 is about 1602.9564006117.

The spelling of 4118747136 in words is "four billion, one hundred eighteen million, seven hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 7168 9408 10752 12544 13681 14336 18816 21504 25088 27362 37632 41043 43008 50176 54724 75264 82086 95767 100352 109448 150528 164172 191534 218896 287301 301056 328344 383068 437792 574602 656688 670369 766136 875584 1149204 1313376 1340738 1532272 1751168 2011107 2298408 2626752 2681476 3064544 3502336 4022214 4596816 5253504 5362952 6129088 7004672 8044428 9193632 10507008 10725904 12258176 14009344 16088856 18387264 21014016 21451808 24516352 28018688 32177712 36774528 42028032 42903616 49032704 64355424 73549056 84056064 85807232 98065408 128710848 147098112 171614464 196130816 257421696 294196224 343228928 514843392 588392448 686457856 1029686784 1372915712 2059373568 4118747136