Search a number
-
+
61339550400000 = 293455617759
BaseRepresentation
bin11011111001001101110100…
…00111001011111000000000
322001012000002201210110110000
431330212322013023320000
531014441344400300000
6334243000032240000
715630431145445545
oct1574467207137000
9261160081713400
1061339550400000
11185a9a5909a194
126a680233a0000
13282c3aa83b582
141120bc8896bcc
157158b0ca0000
hex37c9ba1cbe00

61339550400000 has 1200 divisors, whose sum is σ = 232619787005760. Its totient is φ = 16086988800000.

The previous prime is 61339550399989. The next prime is 61339550400017. The reversal of 61339550400000 is 405593316.

61339550400000 is a `hidden beast` number, since 61 + 3 + 3 + 9 + 550 + 40 + 0 + 0 + 0 + 0 = 666.

61339550400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7905596121 + ... + 7905603879.

Almost surely, 261339550400000 is an apocalyptic number.

61339550400000 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 61339550400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116309893502880).

61339550400000 is an abundant number, since it is smaller than the sum of its proper divisors (171280236605760).

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

61339550400000 is an frugal number, since it uses more digits than its factorization.

61339550400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 61339550400000 its reverse (405593316), we get a palindrome (61339955993316).

The spelling of 61339550400000 in words is "sixty-one trillion, three hundred thirty-nine billion, five hundred fifty million, four hundred thousand".