Search a number
-
+
39948966000 = 2432534747221
BaseRepresentation
bin100101001101001001…
…001101100001110000
310211010010000202000100
4211031021031201300
51123303413403000
630204032552400
72612654415426
oct451511154160
9124103022010
1039948966000
1115a40171489
1278aa9b2700
1339c8624628
141d0d8c5116
15108c2a5a00
hex94d24d870

39948966000 has 240 divisors, whose sum is σ = 142500129408. Its totient is φ = 10426176000.

The previous prime is 39948965993. The next prime is 39948966023. The reversal of 39948966000 is 66984993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822390 + ... + 869610.

Almost surely, 239948966000 is an apocalyptic number.

39948966000 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 39948966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71250064704).

39948966000 is an abundant number, since it is smaller than the sum of its proper divisors (102551163408).

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

39948966000 is a wasteful number, since it uses less digits than its factorization.

39948966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47297 (or 47278 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 39948966000 in words is "thirty-nine billion, nine hundred forty-eight million, nine hundred sixty-six thousand".