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51435242451054 = 232711351710551767
BaseRepresentation
bin10111011000111101100110…
…10110101111000001101110
320202010011100111001001212200
423230132303112233001232
523220203334031413204
6301221005120042330
713556034154105650
oct1354366326570156
9222104314031780
1051435242451054
11154306224a4490
1259285b27633a6
13229142684c187
14c9b69c5d26d0
155e2e36c92539
hex2ec7b35af06e

51435242451054 has 96 divisors (see below), whose sum is σ = 138981472621056. Its totient is φ = 13356003332160.

The previous prime is 51435242451053. The next prime is 51435242451097. The reversal of 51435242451054 is 45015424253415.

51435242451054 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 524 + 24 + 51 + 0 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51435242451053) 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, 401322 + ... + 10150445.

It is an arithmetic number, because the mean of its divisors is an integer number (1447723673136).

Almost surely, 251435242451054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51435242451054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69490736310528).

51435242451054 is an abundant number, since it is smaller than the sum of its proper divisors (87546230170002).

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

51435242451054 is a wasteful number, since it uses less digits than its factorization.

51435242451054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555310 (or 10555307 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 51435242451054 in words is "fifty-one trillion, four hundred thirty-five billion, two hundred forty-two million, four hundred fifty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3517 7034 10551 21102 24619 31653 38687 49238 63306 73857 77374 116061 147714 221571 232122 270809 348183 443142 541618 696366 812427 1624854 2437281 4874562 10551767 21103534 31655301 63310602 73862369 94965903 116069437 147724738 189931806 221587107 232138874 348208311 443174214 664761321 696416622 812486059 1044624933 1329522642 1624972118 2089249866 2437458177 4874916354 7312374531 14624749062 37110564539 74221129078 111331693617 222663387234 259773951773 333995080851 408216209929 519547903546 667990161702 779321855319 816432419858 1224648629787 1558643710638 2337965565957 2449297259574 2857513469503 3673945889361 4675931131914 5715026939006 7347891778722 8572540408509 17145080817018 25717621225527 51435242451054