Search a number
-
+
46364827806 = 232114711034517
BaseRepresentation
bin101011001011100011…
…110010000010011110
311102200020121021211200
4223023203302002132
51224423343442211
633144423100330
73230651351043
oct531343620236
9142606537750
1046364827806
1118732811410
128b9b5a16a6
1344ab8c666b
14235ba271ca
151315686b56
hexacb8f209e

46364827806 has 96 divisors (see below), whose sum is σ = 112047556608. Its totient is φ = 13735504320.

The previous prime is 46364827799. The next prime is 46364827807. The reversal of 46364827806 is 60872846364.

46364827806 is a `hidden beast` number, since 4 + 6 + 364 + 8 + 278 + 0 + 6 = 666.

46364827806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46364827807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10262260 + ... + 10266776.

It is an arithmetic number, because the mean of its divisors is an integer number (1167162048).

Almost surely, 246364827806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46364827806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56023778304).

46364827806 is an abundant number, since it is smaller than the sum of its proper divisors (65682728802).

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

46364827806 is a wasteful number, since it uses less digits than its factorization.

46364827806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 46364827806 in words is "forty-six billion, three hundred sixty-four million, eight hundred twenty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1103 1551 2206 3102 3309 4517 4653 6618 9034 9306 9927 12133 13551 19854 24266 27102 36399 40653 49687 51841 72798 81306 99374 103682 109197 149061 155523 212299 218394 298122 311046 424598 447183 466569 570251 636897 894366 933138 1140502 1273794 1710753 1910691 2335289 3421506 3821382 4670578 4982251 5132259 7005867 9964502 10264518 14011734 14946753 21017601 29893506 42035202 44840259 54804761 89680518 109609522 164414283 234165797 328828566 468331594 493242849 702497391 986485698 1404994782 2107492173 2575823767 4214984346 5151647534 7727471301 15454942602 23182413903 46364827806