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61030135296000 = 2123253131929432
BaseRepresentation
bin11011110000001101011111…
…00010001111000000000000
322000002102110001200121001100
431320012233202033000000
530444404204113433000
6333444505044534400
715566165434452333
oct1570065742170000
9260072401617040
1061030135296000
111849a80a35aa02
126a180709b1400
13280916a260310
14110dc3516661a
1570c801c6aa00
hex3781af88f000

61030135296000 has 3744 divisors, whose sum is σ = 264140366817600. Its totient is φ = 13421799014400.

The previous prime is 61030135295999. The next prime is 61030135296023. The reversal of 61030135296000 is 69253103016.

61030135296000 is a `hidden beast` number, since 6 + 1 + 0 + 30 + 13 + 5 + 2 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1419305471979 + ... + 1419305472021.

It is an arithmetic number, because the mean of its divisors is an integer number (70550311650).

Almost surely, 261030135296000 is an apocalyptic number.

61030135296000 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 61030135296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132070183408800).

61030135296000 is an abundant number, since it is smaller than the sum of its proper divisors (203110231521600).

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

61030135296000 is a wasteful number, since it uses less digits than its factorization.

61030135296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 61030135296000 its reverse (69253103016), we get a palindrome (61099388399016).

The spelling of 61030135296000 in words is "sixty-one trillion, thirty billion, one hundred thirty-five million, two hundred ninety-six thousand".