Search a number
-
+
680909535072 = 2532133146312671
BaseRepresentation
bin10011110100010010101…
…11101111011101100000
32102002112202102022001100
421322021113233131200
542124000320110242
61240445554234400
7100123400360244
oct11721127573540
92362482368040
10680909535072
11242854754858
12abb6b285a00
134c295346a50
1424d55b3c424
1512aa30ed54c
hex9e895ef760

680909535072 has 288 divisors, whose sum is σ = 2157372112896. Its totient is φ = 202298342400.

The previous prime is 680909535067. The next prime is 680909535077. The reversal of 680909535072 is 270535909086.

680909535072 is a `hidden beast` number, since 6 + 80 + 9 + 0 + 9 + 53 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (680909535067) and next prime (680909535077).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680909535077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53731297 + ... + 53743967.

It is an arithmetic number, because the mean of its divisors is an integer number (7490875392).

Almost surely, 2680909535072 is an apocalyptic number.

680909535072 is a gapful number since it is divisible by the number (62) 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 680909535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078686056448).

680909535072 is an abundant number, since it is smaller than the sum of its proper divisors (1476462577824).

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

680909535072 is a wasteful number, since it uses less digits than its factorization.

680909535072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 680909535072 in words is "six hundred eighty billion, nine hundred nine million, five hundred thirty-five thousand, seventy-two".