Search a number
-
+
681831324720 = 243257132800497
BaseRepresentation
bin10011110110000000101…
…00000101110000110000
32102011220222221001201200
421323000110011300300
542132342304342340
61241121243331200
7100155262430520
oct11730024056060
92364828831650
10681831324720
11243188009a87
12b0187b20b00
134c3b12cc300
142500232b680
1512b08ed1330
hex9ec0505c30

681831324720 has 360 divisors, whose sum is σ = 2833724496096. Its totient is φ = 143858737152.

The previous prime is 681831324719. The next prime is 681831324767. The reversal of 681831324720 is 27423138186.

681831324720 is a `hidden beast` number, since 68 + 18 + 313 + 247 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451512 + ... + 1252008.

Almost surely, 2681831324720 is an apocalyptic number.

681831324720 is a gapful number since it is divisible by the number (60) 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 681831324720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416862248048).

681831324720 is an abundant number, since it is smaller than the sum of its proper divisors (2151893171376).

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

681831324720 is a wasteful number, since it uses less digits than its factorization.

681831324720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800549 (or 800527 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 681831324720 in words is "six hundred eighty-one billion, eight hundred thirty-one million, three hundred twenty-four thousand, seven hundred twenty".