Search a number
-
+
200739370245120 = 21033578912718353
BaseRepresentation
bin101101101001001001000110…
…110110110001110000000000
3222022202111101212012010112000
4231221021012312301300000
5202302403212240320440
61550534221003504000
760165640504565010
oct5551110666616000
9868674355163460
10200739370245120
1158a640a8269903
121a620774b28000
138801845195245
14377dba1a05c40
151831a596d4730
hexb69246db1c00

200739370245120 has 1408 divisors, whose sum is σ = 831002399539200. Its totient is φ = 45008063299584.

The previous prime is 200739370245103. The next prime is 200739370245133. The reversal of 200739370245120 is 21542073937002.

200739370245120 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 39 + 370 + 245 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10937677864 + ... + 10937696216.

Almost surely, 2200739370245120 is an apocalyptic number.

200739370245120 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 200739370245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415501199769600).

200739370245120 is an abundant number, since it is smaller than the sum of its proper divisors (630263029294080).

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

200739370245120 is a wasteful number, since it uses less digits than its factorization.

200739370245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610 (or 18586 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 200739370245120 in words is "two hundred trillion, seven hundred thirty-nine billion, three hundred seventy million, two hundred forty-five thousand, one hundred twenty".