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3669113334432 = 2537313194091103
BaseRepresentation
bin110101011001001000001…
…100100110101010100000
3110222202121211001111022110
4311121020030212222200
5440103321003200212
611445322320235320
7526041022521000
oct65311014465240
913882554044273
103669113334432
111195075907387
124b312276bb40
13207cc3cc9870
14c982c108000
1565696e2ba3c
hex35648326aa0

3669113334432 has 768 divisors, whose sum is σ = 12775311360000. Its totient is φ = 913677262848.

The previous prime is 3669113334349. The next prime is 3669113334457. The reversal of 3669113334432 is 2344333119663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3326484793 + ... + 3326485895.

It is an arithmetic number, because the mean of its divisors is an integer number (16634520000).

Almost surely, 23669113334432 is an apocalyptic number.

3669113334432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669113334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387655680000).

3669113334432 is an abundant number, since it is smaller than the sum of its proper divisors (9106198025568).

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

3669113334432 is a wasteful number, since it uses less digits than its factorization.

3669113334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1556 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 48.

The spelling of 3669113334432 in words is "three trillion, six hundred sixty-nine billion, one hundred thirteen million, three hundred thirty-four thousand, four hundred thirty-two".