Search a number
-
+
46491661776 = 24372110317921
BaseRepresentation
bin101011010011000111…
…100111010111010000
311110000002021010100010
4223103013213113100
51230203331134101
633205153354520
73234051414300
oct532307472720
9143002233303
1046491661776
111879837067a
129015b68a40
1344cbc74051
142370801600
15132188c2d6
hexad31e75d0

46491661776 has 120 divisors (see below), whose sum is σ = 139846656384. Its totient is φ = 13270548480.

The previous prime is 46491661739. The next prime is 46491661781. The reversal of 46491661776 is 67716619464.

It is a super-2 number, since 2×464916617762 (a number of 22 digits) contains 22 as substring.

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, 2585296 + ... + 2603216.

Almost surely, 246491661776 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 46491661776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69923328192).

46491661776 is an abundant number, since it is smaller than the sum of its proper divisors (93354994608).

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

46491661776 is a wasteful number, since it uses less digits than its factorization.

46491661776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19049 (or 19036 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 46491661776 in words is "forty-six billion, four hundred ninety-one million, six hundred sixty-one thousand, seven hundred seventy-six".

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 1103 1176 2206 2352 3309 4412 6618 7721 8824 13236 15442 17648 17921 23163 26472 30884 35842 46326 52944 53763 54047 61768 71684 92652 107526 108094 123536 125447 143368 162141 185304 215052 216188 250894 286736 324282 370608 376341 430104 432376 501788 648564 752682 860208 864752 878129 1003576 1297128 1505364 1756258 2007152 2594256 2634387 3010728 3512516 5268774 6021456 7025032 10537548 14050064 19766863 21075096 39533726 42150192 59300589 79067452 118601178 138368041 158134904 237202356 276736082 316269808 415104123 474404712 553472164 830208246 948809424 968576287 1106944328 1660416492 1937152574 2213888656 2905728861 3320832984 3874305148 5811457722 6641665968 7748610296 11622915444 15497220592 23245830888 46491661776