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39960969216 = 2183721761
BaseRepresentation
bin100101001101110111…
…000000000000000000
310211010221121120022220
4211031313000000000
51123320002003331
630205142131040
72613161430300
oct451567000000
9124127546286
1039960969216
1115a46a1a6a3
1278b2a20a80
1339cac67c1c
141d1132b600
15108d377296
hex94ddc0000

39960969216 has 456 divisors, whose sum is σ = 133403778576. Its totient is φ = 10569646080.

The previous prime is 39960969211. The next prime is 39960969313. The reversal of 39960969216 is 61296906993.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 39960969216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960969211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655097826 + ... + 655097886.

It is an arithmetic number, because the mean of its divisors is an integer number (292552146).

Almost surely, 239960969216 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 39960969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66701889288).

39960969216 is an abundant number, since it is smaller than the sum of its proper divisors (93442809360).

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

39960969216 is an frugal number, since it uses more digits than its factorization.

39960969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 39960969216 in words is "thirty-nine billion, nine hundred sixty million, nine hundred sixty-nine thousand, two hundred sixteen".