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61084266650080 = 2558937911318273
BaseRepresentation
bin11011110001110010010100…
…00000111101100111100000
322000021121011120101022001021
431320321022000331213200
531001301034230300310
6333525420311415224
715603123033412222
oct1570711200754740
9260247146338037
1061084266650080
1118510768073473
126a26659384514
1328112b5bc264b
1411126cc440412
1570de1e1805da
hex378e4a03d9e0

61084266650080 has 96 divisors (see below), whose sum is σ = 146318118962400. Its totient is φ = 24095423987712.

The previous prime is 61084266650059. The next prime is 61084266650081. The reversal of 61084266650080 is 8005666248016.

It is a super-3 number, since 3×610842666500803 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61084266650081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262177 + ... + 11056096.

It is an arithmetic number, because the mean of its divisors is an integer number (1524147072525).

Almost surely, 261084266650080 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 61084266650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73159059481200).

61084266650080 is an abundant number, since it is smaller than the sum of its proper divisors (85233852312320).

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

61084266650080 is a wasteful number, since it uses less digits than its factorization.

61084266650080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318756 (or 11318748 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 61084266650080 in words is "sixty-one trillion, eighty-four billion, two hundred sixty-six million, six hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 379 445 712 758 890 1424 1516 1780 1895 2848 3032 3560 3790 6064 7120 7580 12128 14240 15160 30320 33731 60640 67462 134924 168655 269848 337310 539696 674620 1079392 1349240 2698480 5396960 11318273 22636546 45273092 56591365 90546184 113182730 181092368 226365460 362184736 452730920 905461840 1007326297 1810923680 2014652594 4029305188 4289625467 5036631485 8058610376 8579250934 10073262970 16117220752 17158501868 20146525940 21448127335 32234441504 34317003736 40293051880 42896254670 68634007472 80586103760 85792509340 137268014944 161172207520 171585018680 343170037360 381776666563 686340074720 763553333126 1527106666252 1908883332815 3054213332504 3817766665630 6108426665008 7635533331260 12216853330016 15271066662520 30542133325040 61084266650080