Search a number
-
+
39970098000 = 243553731379
BaseRepresentation
bin100101001110011001…
…110100101101010000
310211011120210100200000
4211032121310231100
51123324321114000
630210105530000
72613332140650
oct451631645520
9124146710600
1039970098000
1115a51095248
1278b5aa3900
1339ccb13081
141d12626360
15108e07c000
hex94e674b50

39970098000 has 960 divisors, whose sum is σ = 171242373120. Its totient is φ = 8817984000.

The previous prime is 39970097983. The next prime is 39970098001. The reversal of 39970098000 is 89007993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39970098001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105461811 + ... + 105462189.

It is an arithmetic number, because the mean of its divisors is an integer number (178377472).

Almost surely, 239970098000 is an apocalyptic number.

39970098000 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 39970098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621186560).

39970098000 is an abundant number, since it is smaller than the sum of its proper divisors (131272275120).

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

39970098000 is a wasteful number, since it uses less digits than its factorization.

39970098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 39970098000 in words is "thirty-nine billion, nine hundred seventy million, ninety-eight thousand".