Search a number
-
+
433053045054 = 2327297252183
BaseRepresentation
bin1100100110100111111…
…10010001000100111110
31112101210012201000211200
412103103332101010332
524043343034420204
6530535233400330
743200313101600
oct6232376210476
91471705630750
10433053045054
11157725177363
126bb187090a6
1331ab539b076
1416d61ca1170
15b3e8593539
hex64d3f9113e

433053045054 has 108 divisors (see below), whose sum is σ = 1102859839224. Its totient is φ = 122451533568.

The previous prime is 433053045041. The next prime is 433053045071. The reversal of 433053045054 is 450540350334.

433053045054 is a `hidden beast` number, since 4 + 3 + 30 + 530 + 45 + 0 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8272647 + ... + 8324829.

It is an arithmetic number, because the mean of its divisors is an integer number (10211665178).

Almost surely, 2433053045054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433053045054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551429919612).

433053045054 is an abundant number, since it is smaller than the sum of its proper divisors (669806794170).

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

433053045054 is a wasteful number, since it uses less digits than its factorization.

433053045054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52399 (or 52292 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 433053045054 its reverse (450540350334), we get a palindrome (883593395388).

The spelling of 433053045054 in words is "four hundred thirty-three billion, fifty-three million, forty-five thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 97 98 126 147 194 291 294 441 582 679 873 882 1358 1746 2037 4074 4753 6111 9409 9506 12222 14259 18818 28227 28518 42777 52183 56454 65863 84681 85554 104366 131726 156549 169362 197589 313098 365281 395178 461041 469647 592767 730562 922082 939294 1095843 1185534 1383123 2191686 2556967 2766246 3287529 4149369 5061751 5113934 6575058 7670901 8298738 10123502 15185253 15341802 23012703 30370506 35432257 45555759 46025406 70864514 91111518 106296771 212593542 248025799 318890313 490989847 496051598 637780626 744077397 981979694 1472969541 1488154794 2232232191 2945939082 3436928929 4418908623 4464464382 6873857858 8837817246 10310786787 20621573574 24058502503 30932360361 48117005006 61864720722 72175507509 144351015018 216526522527 433053045054