Search a number
-
+
61326720000 = 21034547132
BaseRepresentation
bin111001000111010110…
…110111110000000000
312212021222001011110000
4321013112313300000
52001044120020000
644101220240000
74300506343020
oct710726676000
9185258034400
1061326720000
1124010375477
12ba76240000
135a2458c200
142d7ab6ba80
1518dde70000
hexe475b7c00

61326720000 has 1650 divisors, whose sum is σ = 283201352808. Its totient is φ = 12939264000.

The previous prime is 61326719983. The next prime is 61326720017. The reversal of 61326720000 is 2762316.

It is a happy number.

61326720000 is a `hidden beast` number, since 613 + 26 + 7 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61326719983) and next prime (61326720017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 149 ways as a sum of consecutive naturals, for example, 4717439994 + ... + 4717440006.

Almost surely, 261326720000 is an apocalyptic number.

61326720000 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 61326720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141600676404).

61326720000 is an abundant number, since it is smaller than the sum of its proper divisors (221874632808).

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

61326720000 is an equidigital number, since it uses as much as digits as its factorization.

61326720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 61326720000 in words is "sixty-one billion, three hundred twenty-six million, seven hundred twenty thousand".