Search a number
-
+
207013847040 = 21333571121317
BaseRepresentation
bin1100000011001011111…
…1001010000000000000
3201210100011002000212000
43000302333022000000
511342431021101130
6235033441104000
720645665444440
oct3006277120000
9653304060760
10207013847040
117a880a13300
1234154628000
13166a1462a20
14a03b804120
1555b90c6260
hex3032fca000

207013847040 has 2688 divisors, whose sum is σ = 1054257845760. Its totient is φ = 37371248640.

The previous prime is 207013847017. The next prime is 207013847063. The reversal of 207013847040 is 40748310702.

It is a happy number.

207013847040 is a `hidden beast` number, since 207 + 0 + 1 + 384 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (207013847017) and next prime (207013847063).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 207013846986 and 207013847004.

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 191 ways as a sum of consecutive naturals, for example, 12177285112 + ... + 12177285128.

It is an arithmetic number, because the mean of its divisors is an integer number (392209020).

Almost surely, 2207013847040 is an apocalyptic number.

207013847040 is a gapful number since it is divisible by the number (20) 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 207013847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527128922880).

207013847040 is an abundant number, since it is smaller than the sum of its proper divisors (847243998720).

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

207013847040 is a wasteful number, since it uses less digits than its factorization.

207013847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 207013847040 in words is "two hundred seven billion, thirteen million, eight hundred forty-seven thousand, forty".