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56119342800 = 24352140933191
BaseRepresentation
bin110100010000111110…
…010011011011010000
312100212001102222211210
4310100332103123100
51404413022432200
641440400140120
74024455354213
oct642076233320
9170761388753
1056119342800
11218889a6954
12aa62307640
1353a4792521
142a0532777a
1516d6c03650
hexd10f936d0

56119342800 has 120 divisors (see below), whose sum is σ = 179901967680. Its totient is φ = 14954086400.

The previous prime is 56119342771. The next prime is 56119342813. The reversal of 56119342800 is 824391165.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674205 + ... + 1707395.

It is an arithmetic number, because the mean of its divisors is an integer number (1499183064).

Almost surely, 256119342800 is an apocalyptic number.

56119342800 is a gapful number since it is divisible by the number (50) 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 56119342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89950983840).

56119342800 is an abundant number, since it is smaller than the sum of its proper divisors (123782624880).

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

56119342800 is a wasteful number, since it uses less digits than its factorization.

56119342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34621 (or 34610 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 56119342800 in words is "fifty-six billion, one hundred nineteen million, three hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1409 2818 4227 5636 7045 8454 11272 14090 16908 21135 22544 28180 33191 33816 35225 42270 56360 66382 67632 70450 84540 99573 105675 112720 132764 140900 165955 169080 199146 211350 265528 281800 331910 338160 398292 422700 497865 531056 563600 663820 796584 829775 845400 995730 1327640 1593168 1659550 1690800 1991460 2489325 2655280 3319100 3982920 4978650 6638200 7965840 9957300 13276400 19914600 39829200 46766119 93532238 140298357 187064476 233830595 280596714 374128952 467661190 561193428 701491785 748257904 935322380 1122386856 1169152975 1402983570 1870644760 2244773712 2338305950 2805967140 3507458925 3741289520 4676611900 5611934280 7014917850 9353223800 11223868560 14029835700 18706447600 28059671400 56119342800