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61328435560160 = 2556717213324193
BaseRepresentation
bin11011111000111001000111…
…00111011011111011100000
322001010221102010021002120012
431330130203213123323200
531014301114000411120
6334233521102504052
715626555543042636
oct1574344347337340
9261127363232505
1061328435560160
11185a527505453a
126a65a40b95028
13282b328ba5972
141120452651356
157154600c91c5
hex37c7239dbee0

61328435560160 has 96 divisors (see below), whose sum is σ = 147136432195872. Its totient is φ = 24151185653760.

The previous prime is 61328435560151. The next prime is 61328435560213. The reversal of 61328435560160 is 6106553482316.

It is a happy number.

It is a super-2 number, since 2×613284355601602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61328435560099 and 61328435560108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16787024 + ... + 20111216.

It is an arithmetic number, because the mean of its divisors is an integer number (1532671168707).

Almost surely, 261328435560160 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 61328435560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73568216097936).

61328435560160 is an abundant number, since it is smaller than the sum of its proper divisors (85807996635712).

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

61328435560160 is a wasteful number, since it uses less digits than its factorization.

61328435560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325996 (or 3325988 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 61328435560160 in words is "sixty-one trillion, three hundred twenty-eight billion, four hundred thirty-five million, five hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 1721 2144 2680 3442 5360 6884 8605 10720 13768 17210 27536 34420 55072 68840 115307 137680 230614 275360 461228 576535 922456 1153070 1844912 2306140 3324193 3689824 4612280 6648386 9224560 13296772 16620965 18449120 26593544 33241930 53187088 66483860 106374176 132967720 222720931 265935440 445441862 531870880 890883724 1113604655 1781767448 2227209310 3563534896 4454418620 5720936153 7127069792 8908837240 11441872306 17817674480 22883744612 28604680765 35635348960 45767489224 57209361530 91534978448 114418723060 183069956896 228837446120 383302722251 457674892240 766605444502 915349784480 1533210889004 1916513611255 3066421778008 3833027222510 6132843556016 7666054445020 12265687112032 15332108890040 30664217780080 61328435560160