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32948988268 = 227213710391181
BaseRepresentation
bin11110101011111010…
…011010100101101100
310011001021100000202211
4132223322122211230
51014434420111033
623045255100204
72244335531200
oct365372324554
9104037300684
1032948988268
1112a78932619
126476671664
133151328881
141847d72b00
15ccc9932cd
hex7abe9a96c

32948988268 has 72 divisors (see below), whose sum is σ = 67686615360. Its totient is φ = 13992572160.

The previous prime is 32948988257. The next prime is 32948988269. The reversal of 32948988268 is 86288984923.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32948988269) 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, 27898638 + ... + 27899818.

It is an arithmetic number, because the mean of its divisors is an integer number (940091880).

Almost surely, 232948988268 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 32948988268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33843307680).

32948988268 is an abundant number, since it is smaller than the sum of its proper divisors (34737627092).

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

32948988268 is a wasteful number, since it uses less digits than its factorization.

32948988268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2366 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 67.

The spelling of 32948988268 in words is "thirty-two billion, nine hundred forty-eight million, nine hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1039 1181 1918 2078 2362 3836 4156 4724 6713 7273 8267 13426 14546 16534 26852 29092 33068 50911 57869 101822 115738 142343 161797 203644 231476 284686 323594 569372 647188 996401 1132579 1227059 1992802 2265158 2454118 3985604 4530316 4908236 6974807 7928053 8589413 13949614 15856106 17178826 27899228 31712212 34357652 60125891 120251782 168107083 240503564 336214166 672428332 1176749581 2353499162 4706998324 8237247067 16474494134 32948988268