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39950679104 = 2672331181691
BaseRepresentation
bin100101001101001111…
…101111110001000000
310211010020020202221122
4211031033233301000
51123304333212404
630204133411412
72613005112050
oct451517576100
9124106222848
1039950679104
1115a41131576
1278ab499b68
1339c8aa42bb
141d0dc0d560
15108c4e33be
hex94d3efc40

39950679104 has 224 divisors, whose sum is σ = 98272591872. Its totient is φ = 15738624000.

The previous prime is 39950679047. The next prime is 39950679151. The reversal of 39950679104 is 40197605993.

It is a happy number.

39950679104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57815399 + ... + 57816089.

It is an arithmetic number, because the mean of its divisors is an integer number (438716928).

Almost surely, 239950679104 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 39950679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49136295936).

39950679104 is an abundant number, since it is smaller than the sum of its proper divisors (58321912768).

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

39950679104 is a wasteful number, since it uses less digits than its factorization.

39950679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 53.

The spelling of 39950679104 in words is "thirty-nine billion, nine hundred fifty million, six hundred seventy-nine thousand, one hundred four".