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61055841337920 = 263351113483271
BaseRepresentation
bin11011110000111101010111…
…01111000000001001000000
322000011212210120010211022000
431320132223233000021000
531000314330340303140
6333504355530344000
715601065444301062
oct1570365357001100
9260155716124260
1061055841337920
11184aa700792750
126a2104588b000
13280b705b40000
1411111931bb732
1570d308905a30
hex3787abbc0240

61055841337920 has 2240 divisors, whose sum is σ = 258570362695680. Its totient is φ = 13448424038400.

The previous prime is 61055841337879. The next prime is 61055841337937. The reversal of 61055841337920 is 2973314855016.

It is a happy number.

61055841337920 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 584 + 1 + 3 + 37 + 9 + 20 = 666.

It is a super-3 number, since 3×610558413379203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 225298307385 + ... + 225298307655.

It is an arithmetic number, because the mean of its divisors is an integer number (115433197632).

It is a 1-persistent number, because it is pandigital, but 2⋅61055841337920 = 122111682675840 is not.

Almost surely, 261055841337920 is an apocalyptic number.

61055841337920 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 61055841337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129285181347840).

61055841337920 is an abundant number, since it is smaller than the sum of its proper divisors (197514521357760).

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

61055841337920 is a wasteful number, since it uses less digits than its factorization.

61055841337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 61055841337920 in words is "sixty-one trillion, fifty-five billion, eight hundred forty-one million, three hundred thirty-seven thousand, nine hundred twenty".