Search a number
-
+
46123166430 = 232511349133493
BaseRepresentation
bin101010111101001001…
…111010101011011110
311102001101212121202100
4222331021322223132
51223430012311210
633104431305530
73221655305655
oct527511725336
9142041777670
1046123166430
1118619363670
128b3267b2a6
134470813573
1423378bc19c
1512ee34d5c0
hexabd27aade

46123166430 has 96 divisors (see below), whose sum is σ = 131197903200. Its totient is φ = 11149251840.

The previous prime is 46123166407. The next prime is 46123166461. The reversal of 46123166430 is 3466132164.

46123166430 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 3 + 1 + 6 + 643 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278764 + ... + 412256.

It is an arithmetic number, because the mean of its divisors is an integer number (1366644825).

Almost surely, 246123166430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46123166430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65598951600).

46123166430 is an abundant number, since it is smaller than the sum of its proper divisors (85074736770).

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

46123166430 is a wasteful number, since it uses less digits than its factorization.

46123166430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133866 (or 133863 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 46123166430 its reverse (3466132164), we get a palindrome (49589298594).

The spelling of 46123166430 in words is "forty-six billion, one hundred twenty-three million, one hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 349 495 698 990 1047 1745 2094 3141 3490 3839 5235 6282 7678 10470 11517 15705 19195 23034 31410 34551 38390 57585 69102 115170 133493 172755 266986 345510 400479 667465 800958 1201437 1334930 1468423 2002395 2402874 2936846 4004790 4405269 6007185 7342115 8810538 12014370 13215807 14684230 22026345 26431614 44052690 46589057 66079035 93178114 132158070 139767171 232945285 279534342 419301513 465890570 512479627 698835855 838603026 1024959254 1397671710 1537438881 2096507565 2562398135 3074877762 4193015130 4612316643 5124796270 7687194405 9224633286 15374388810 23061583215 46123166430