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39929676768 = 2532138644711
BaseRepresentation
bin100101001011111111…
…101000001111100000
310211001202201202011100
4211023333220033200
51123233444124033
630202103314400
72612331436542
oct451377501740
9124052652140
1039929676768
1115a30297173
1278a444ba00
1339c462c897
141d0b103692
15108a745513
hex94bfe83e0

39929676768 has 36 divisors (see below), whose sum is σ = 113550019128. Its totient is φ = 13309892160.

The previous prime is 39929676767. The next prime is 39929676779. The reversal of 39929676768 is 86767692993.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39929676696 and 39929676705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39929676767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69322068 + ... + 69322643.

It is an arithmetic number, because the mean of its divisors is an integer number (3154167198).

Almost surely, 239929676768 is an apocalyptic number.

It is an amenable number.

39929676768 is an abundant number, since it is smaller than the sum of its proper divisors (73620342360).

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

39929676768 is a wasteful number, since it uses less digits than its factorization.

39929676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138644727 (or 138644716 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 39929676768 in words is "thirty-nine billion, nine hundred twenty-nine million, six hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 138644711 277289422 415934133 554578844 831868266 1109157688 1247802399 1663736532 2218315376 2495604798 3327473064 4436630752 4991209596 6654946128 9982419192 13309892256 19964838384 39929676768