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39734070048 = 253379757769
BaseRepresentation
bin100101000000010101…
…011100101100100000
310210120010122220012000
4211000111130230200
51122333410220143
630130435004000
72604435010551
oct450025345440
9123503586160
1039734070048
111593a934a22
12784aa39600
133992c5316a
141ccd146328
1510784a7bd3
hex94055cb20

39734070048 has 192 divisors, whose sum is σ = 117665856000. Its totient is φ = 13042778112.

The previous prime is 39734069987. The next prime is 39734070053. The reversal of 39734070048 is 84007043793.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 39734069985 and 39734070012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51669408 + ... + 51670176.

It is an arithmetic number, because the mean of its divisors is an integer number (612843000).

Almost surely, 239734070048 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 39734070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58832928000).

39734070048 is an abundant number, since it is smaller than the sum of its proper divisors (77931785952).

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

39734070048 is a wasteful number, since it uses less digits than its factorization.

39734070048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 39734070048 in words is "thirty-nine billion, seven hundred thirty-four million, seventy thousand, forty-eight".