Search a number
-
+
661032355654000 = 245311376712120583
BaseRepresentation
bin1001011001001101001001011…
…0101111100110100101110000
310012200112002001102120122100001
42112103102112233212211300
51143120323231021412000
610301522023311235344
7256144004000541451
oct22623222657464560
93180462042518301
10661032355654000
1118169727a763760
12621805ba518b54
13224b0111a78935
14b9341cb251128
155164e7dd2746a
hex2593496be6970

661032355654000 has 320 divisors, whose sum is σ = 1817538392097792. Its totient is φ = 230388022656000.

The previous prime is 661032355653983. The next prime is 661032355654009. The reversal of 661032355654000 is 456553230166.

661032355654000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661032355654009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48477709 + ... + 60598291.

Almost surely, 2661032355654000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661032355654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908769196048896).

661032355654000 is an abundant number, since it is smaller than the sum of its proper divisors (1156506036443792).

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

661032355654000 is a wasteful number, since it uses less digits than its factorization.

661032355654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120721 (or 12120705 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 661032355654000 in words is "six hundred sixty-one trillion, thirty-two billion, three hundred fifty-five million, six hundred fifty-four thousand".