Search a number
-
+
231533531053152 = 25356411454329399
BaseRepresentation
bin110100101001010000011001…
…110111110011110001100000
31010100210101111212112221110120
4310221100121313303301200
5220321421132422200102
62140233011421200240
766524513511624036
oct6451203167636140
91110711455487416
10231533531053152
1167856901238269
1221b748bb100080
139c266978c9583
1441263d5a08556
151bb7ab9d2e6bc
hexd29419df3c60

231533531053152 has 96 divisors (see below), whose sum is σ = 607945738982400. Its totient is φ = 77156231623680.

The previous prime is 231533531053109. The next prime is 231533531053171. The reversal of 231533531053152 is 251350135335132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7875543349 + ... + 7875572747.

It is an arithmetic number, because the mean of its divisors is an integer number (6332768114400).

Almost surely, 2231533531053152 is an apocalyptic number.

It is an amenable number.

231533531053152 is an abundant number, since it is smaller than the sum of its proper divisors (376412207929248).

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

231533531053152 is a wasteful number, since it uses less digits than its factorization.

231533531053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49596 (or 49588 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 42.

Adding to 231533531053152 its reverse (251350135335132), we get a palindrome (482883666388284).

The spelling of 231533531053152 in words is "two hundred thirty-one trillion, five hundred thirty-three billion, five hundred thirty-one million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5641 11282 14543 16923 22564 29086 29399 33846 43629 45128 58172 58798 67692 87258 88197 90256 116344 117596 135384 174516 176394 180512 232688 235192 270768 349032 352788 465376 470384 541536 698064 705576 940768 1396128 1411152 2822304 82037063 164074126 165839759 246111189 328148252 331679518 427549657 492222378 497519277 656296504 663359036 855099314 984444756 995038554 1282648971 1312593008 1326718072 1710198628 1968889512 1990077108 2565297942 2625186016 2653436144 3420397256 3937779024 3980154216 5130595884 5306872288 6840794512 7875558048 7960308432 10261191768 13681589024 15920616864 20522383536 41044767072 2411807615137 4823615230274 7235422845411 9647230460548 14470845690822 19294460921096 28941691381644 38588921842192 57883382763288 77177843684384 115766765526576 231533531053152