Search a number
-
+
207480648960 = 28335133114897
BaseRepresentation
bin1100000100111011001…
…1110111010100000000
3201211112200110000201000
43001032303313110000
511344410021231320
6235152034212000
720663364263124
oct3011663672400
9654480400630
10207480648960
117aaa0465512
1234264a24000
1316747093290
14a0837d7584
1555e5082c90
hex304ecf7500

207480648960 has 576 divisors, whose sum is σ = 818536642560. Its totient is φ = 49421352960.

The previous prime is 207480648943. The next prime is 207480648961. The reversal of 207480648960 is 69846084702.

207480648960 is a `hidden beast` number, since 20 + 7 + 4 + 80 + 6 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 207480648897 and 207480648906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207480648961) 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 63 ways as a sum of consecutive naturals, for example, 13920232 + ... + 13935128.

It is an arithmetic number, because the mean of its divisors is an integer number (1421070560).

Almost surely, 2207480648960 is an apocalyptic number.

207480648960 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 207480648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409268321280).

207480648960 is an abundant number, since it is smaller than the sum of its proper divisors (611055993600).

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

207480648960 is a wasteful number, since it uses less digits than its factorization.

207480648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 207480648960 in words is "two hundred seven billion, four hundred eighty million, six hundred forty-eight thousand, nine hundred sixty".