Search a number
-
+
38708040000 = 263547229227
BaseRepresentation
bin100100000011001011…
…011101000101000000
310200220122000011120010
4210003023131011000
51113233224240000
625440543344520
72540135624400
oct440313350500
9120818004503
1038708040000
1115463752403
1276032b2140
13385b500ca6
141c32b80800
151018383d50
hex9032dd140

38708040000 has 840 divisors, whose sum is σ = 154684110240. Its totient is φ = 8504832000.

The previous prime is 38708039927. The next prime is 38708040001. The reversal of 38708040000 is 4080783.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 38708040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38708040001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 170519887 + ... + 170520113.

Almost surely, 238708040000 is an apocalyptic number.

38708040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38708040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342055120).

38708040000 is an abundant number, since it is smaller than the sum of its proper divisors (115976070240).

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

38708040000 is a wasteful number, since it uses less digits than its factorization.

38708040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 38708040000 in words is "thirty-eight billion, seven hundred eight million, forty thousand".