Search a number
-
+
56010431660000 = 25543677630849
BaseRepresentation
bin11001011110000111100011…
…11000011111111111100000
321100022112201021201001100212
430233003301320133333200
524320133331001110000
6315042500451033252
714540422465530236
oct1457036170377740
9240275637631325
1056010431660000
1116934988535054
12634724429b828
1325339b801824c
14db8cc2a02956
15671e5e81ec35
hex32f0f1e1ffe0

56010431660000 has 120 divisors (see below), whose sum is σ = 138169542218400. Its totient is φ = 22343122944000.

The previous prime is 56010431659999. The next prime is 56010431660003. The reversal of 56010431660000 is 6613401065.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56010431660003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3524576 + ... + 11155424.

It is an arithmetic number, because the mean of its divisors is an integer number (1151412851820).

Almost surely, 256010431660000 is an apocalyptic number.

56010431660000 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 56010431660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69084771109200).

56010431660000 is an abundant number, since it is smaller than the sum of its proper divisors (82159110558400).

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

56010431660000 is an equidigital number, since it uses as much as digits as its factorization.

56010431660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631246 (or 7631223 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 56010431660000 in words is "fifty-six trillion, ten billion, four hundred thirty-one million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 367 400 500 625 734 800 1000 1250 1468 1835 2000 2500 2936 3670 4000 5000 5872 7340 9175 10000 11744 14680 18350 20000 29360 36700 45875 58720 73400 91750 146800 183500 229375 293600 367000 458750 734000 917500 1468000 1835000 3670000 7340000 7630849 15261698 30523396 38154245 61046792 76308490 122093584 152616980 190771225 244187168 305233960 381542450 610467920 763084900 953856125 1220935840 1526169800 1907712250 2800521583 3052339600 3815424500 4769280625 5601043166 6104679200 7630849000 9538561250 11202086332 14002607915 15261698000 19077122500 22404172664 28005215830 30523396000 38154245000 44808345328 56010431660 70013039575 76308490000 89616690656 112020863320 140026079150 152616980000 224041726640 280052158300 350065197875 448083453280 560104316600 700130395750 1120208633200 1400260791500 1750325989375 2240417266400 2800521583000 3500651978750 5601043166000 7001303957500 11202086332000 14002607915000 28005215830000 56010431660000