Search a number
-
+
41606512896 = 283132320563
BaseRepresentation
bin100110101111111100…
…010000000100000000
310222101121222211220010
4212233330100010000
51140202231403041
631040323544520
73002022344604
oct465774200400
9128347884803
1041606512896
1116710878a53
128091b2b140
133c00b58900
142029ab9504
151137a70a16
hex9aff10100

41606512896 has 108 divisors (see below), whose sum is σ = 119907605328. Its totient is φ = 12801964032.

The previous prime is 41606512879. The next prime is 41606512921. The reversal of 41606512896 is 69821560614.

It is a super-2 number, since 2×416065128962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30490 + ... + 290073.

Almost surely, 241606512896 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 41606512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59953802664).

41606512896 is an abundant number, since it is smaller than the sum of its proper divisors (78301092432).

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

41606512896 is a wasteful number, since it uses less digits than its factorization.

41606512896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320608 (or 320581 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 41606512896 in words is "forty-one billion, six hundred six million, five hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2496 2704 3328 4056 4992 5408 8112 9984 10816 16224 21632 32448 43264 64896 129792 320563 641126 961689 1282252 1923378 2564504 3846756 4167319 5129008 7693512 8334638 10258016 12501957 15387024 16669276 20516032 25003914 30774048 33338552 41032064 50007828 54175147 61548096 66677104 82064128 100015656 108350294 123096192 133354208 162525441 200031312 216700588 246192384 266708416 325050882 400062624 433401176 533416832 650101764 800125248 866802352 1066833664 1300203528 1600250496 1733604704 2600407056 3200500992 3467209408 5200814112 6934418816 10401628224 13868837632 20803256448 41606512896