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51409402583058 = 232131072920477053
BaseRepresentation
bin10111011000001101011110…
…01011011101100000010010
320202000200122122202202202200
423230012233023131200102
523214242424030124213
6301201053054024030
713554130630622562
oct1354065713354022
9222020578682680
1051409402583058
1115420672577183
1259235a0aa8016
13228bb69314360
14c9a32a8a2da2
155e24234c0273
hex2ec1af2dd812

51409402583058 has 48 divisors (see below), whose sum is σ = 119966459023320. Its totient is φ = 15816802597632.

The previous prime is 51409402583051. The next prime is 51409402583117. The reversal of 51409402583058 is 85038520490415.

51409402583058 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 9 + 4 + 0 + 2 + 583 + 0 + 58 = 666.

51409402583058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24232709464929 + 27176693118129 = 4922673^2 + 5213127^2 .

It is a super-3 number, since 3×514094025830583 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51409402582995 and 51409402583013.

It is not an unprimeable number, because it can be changed into a prime (51409402583051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7727941 + ... + 12749112.

Almost surely, 251409402583058 is an apocalyptic number.

51409402583058 is an abundant number, since it is smaller than the sum of its proper divisors (68557056440262).

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

51409402583058 is a wasteful number, since it uses less digits than its factorization.

51409402583058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20487803 (or 20487800 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 51409402583058 in words is "fifty-one trillion, four hundred nine billion, four hundred two million, five hundred eighty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10729 21458 32187 64374 96561 139477 193122 278954 418431 836862 1255293 2510586 20477053 40954106 61431159 122862318 184293477 266201689 368586954 532403378 798605067 1597210134 2395815201 4791630402 219698301637 439396603274 659094904911 1318189809822 1977284714733 2856077921281 3954569429466 5712155842562 8568233763843 17136467527686 25704701291529 51409402583058