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52171938432 = 2733131115237
BaseRepresentation
bin110000100101101100…
…001001101010000000
311222122221201002001000
4300211230021222000
51323322004012212
635544545412000
73524604105525
oct604554115200
9158587632030
1052171938432
1120142776599
12a14033a000
134bc5a277b3
14274cd8514c
1515553bc1dc
hexc25b09a80

52171938432 has 128 divisors (see below), whose sum is σ = 155156443200. Its totient is φ = 17257743360.

The previous prime is 52171938431. The next prime is 52171938457. The reversal of 52171938432 is 23483917125.

It is a happy number.

52171938432 is a `hidden beast` number, since 5 + 21 + 7 + 193 + 8 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×521719384322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52171938431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395118 + ... + 510354.

Almost surely, 252171938432 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 52171938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77578221600).

52171938432 is an abundant number, since it is smaller than the sum of its proper divisors (102984504768).

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

52171938432 is a wasteful number, since it uses less digits than its factorization.

52171938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115391 (or 115373 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 52171938432 in words is "fifty-two billion, one hundred seventy-one million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 262 288 384 393 432 524 576 786 864 1048 1152 1179 1572 1728 2096 2358 3144 3456 3537 4192 4716 6288 7074 8384 9432 12576 14148 16768 18864 25152 28296 37728 50304 56592 75456 113184 115237 150912 226368 230474 345711 452736 460948 691422 921896 1037133 1382844 1843792 2074266 2765688 3111399 3687584 4148532 5531376 6222798 7375168 8297064 11062752 12445596 14750336 15096047 16594128 22125504 24891192 30192094 33188256 44251008 45288141 49782384 60384188 66376512 90576282 99564768 120768376 132753024 135864423 181152564 199129536 241536752 271728846 362305128 398259072 407593269 483073504 543457692 724610256 815186538 966147008 1086915384 1449220512 1630373076 1932294016 2173830768 2898441024 3260746152 4347661536 5796882048 6521492304 8695323072 13042984608 17390646144 26085969216 52171938432