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632116960076 = 227261392313477
BaseRepresentation
bin10010011001011010001…
…10110101101101001100
32020102121022120200011002
421030231012311231030
540324033420210301
61202220204115432
763445306336100
oct11145506655514
92212538520132
10632116960076
112240965aa008
12a2612835b78
13477ba79acb4
1422847911900
151169975e16b
hex932d1b5b4c

632116960076 has 72 divisors (see below), whose sum is σ = 1308335229936. Its totient is φ = 266378474880.

The previous prime is 632116960073. The next prime is 632116960099. The reversal of 632116960076 is 670069611236.

632116960076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 632116960076.

It is not an unprimeable number, because it can be changed into a prime (632116960073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46896650 + ... + 46910126.

It is an arithmetic number, because the mean of its divisors is an integer number (18171322638).

Almost surely, 2632116960076 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 632116960076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654167614968).

632116960076 is an abundant number, since it is smaller than the sum of its proper divisors (676218269860).

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

632116960076 is a wasteful number, since it uses less digits than its factorization.

632116960076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17479 (or 17470 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 632116960076 in words is "six hundred thirty-two billion, one hundred sixteen million, nine hundred sixty thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 3923 5978 7846 11956 13477 15692 26954 27461 53908 54922 94339 109844 188678 192227 239303 377356 384454 478606 660373 768908 822097 957212 1320746 1644194 1675121 2641492 3288388 3350242 5754679 6700484 11509358 11725847 23018716 23451694 40282753 46903388 52870271 80565506 105740542 161131012 211481084 370091897 740183794 1480367588 2590643279 3225086531 5181286558 6450173062 10362573116 12900346124 22575605717 45151211434 90302422868 158029240019 316058480038 632116960076