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232961839264 = 257111013172953
BaseRepresentation
bin1101100011110110011…
…0111001000010100000
3211021022111210121112001
43120331212321002200
512304101212324024
6255004324413344
722555003650520
oct3307546710240
9737274717461
10232961839264
118a886980980
1239196547254
1318c781c718b
14b3bda3b680
1560d7105244
hex363d9b90a0

232961839264 has 192 divisors, whose sum is σ = 579494829312. Its totient is φ = 89551872000.

The previous prime is 232961839249. The next prime is 232961839267. The reversal of 232961839264 is 462938169232.

It is not an unprimeable number, because it can be changed into a prime (232961839267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78888412 + ... + 78891364.

It is an arithmetic number, because the mean of its divisors is an integer number (3018202236).

Almost surely, 2232961839264 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 232961839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289747414656).

232961839264 is an abundant number, since it is smaller than the sum of its proper divisors (346532990048).

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

232961839264 is a wasteful number, since it uses less digits than its factorization.

232961839264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3391 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The spelling of 232961839264 in words is "two hundred thirty-two billion, nine hundred sixty-one million, eight hundred thirty-nine thousand, two hundred sixty-four".