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3968136561 = 314954716229
BaseRepresentation
bin1110110010000100…
…1111010101110001
3101020112202020000210
43230201033111301
531111320332221
61453430534333
7200222414154
oct35441172561
911215666023
103968136561
111756a00804
12928b073a9
134b31464cc
1429901bc9b
1518357e276
hexec84f571

3968136561 has 16 divisors (see below), whose sum is σ = 5336424000. Its totient is φ = 2622704448.

The previous prime is 3968136551. The next prime is 3968136563. The reversal of 3968136561 is 1656318693.

It is not a de Polignac number, because 3968136561 - 215 = 3968103793 is a prime.

It is a super-2 number, since 2×39681365612 = 31492215533489813442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3968136561.

It is not an unprimeable number, because it can be changed into a prime (3968136563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 236395 + ... + 252623.

It is an arithmetic number, because the mean of its divisors is an integer number (333526500).

Almost surely, 23968136561 is an apocalyptic number.

It is an amenable number.

3968136561 is a deficient number, since it is larger than the sum of its proper divisors (1368287439).

3968136561 is a wasteful number, since it uses less digits than its factorization.

3968136561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928.

The product of its digits is 699840, while the sum is 48.

The square root of 3968136561 is about 62993.1469367899. The cubic root of 3968136561 is about 1583.1748054123.

The spelling of 3968136561 in words is "three billion, nine hundred sixty-eight million, one hundred thirty-six thousand, five hundred sixty-one".

Divisors: 1 3 149 447 547 1641 16229 48687 81503 244509 2418121 7254363 8877263 26631789 1322712187 3968136561