Search a number
-
+
21250124335040 = 26579783320751
BaseRepresentation
bin1001101010011101011100…
…00111001100011111000000
32210020111021200221122212112
410311032232013030133000
510241130223312210130
6113110101121114452
74322161614365336
oct465165607143700
983214250848775
1021250124335040
116853144219a07
1224724bb788a28
13bb1b55322593
145367237ddb56
1526cb702c6495
hex1353ae1cc7c0

21250124335040 has 56 divisors (see below), whose sum is σ = 50665349593152. Its totient is φ = 8489384576000.

The previous prime is 21250124335019. The next prime is 21250124335067. The reversal of 21250124335040 is 4053342105212.

It is a super-3 number, since 3×212501243350403 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21250124334988 and 21250124335006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41405336 + ... + 41915415.

It is an arithmetic number, because the mean of its divisors is an integer number (904738385592).

Almost surely, 221250124335040 is an apocalyptic number.

21250124335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21250124335040 is an abundant number, since it is smaller than the sum of its proper divisors (29415225258112).

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

21250124335040 is an equidigital number, since it uses as much as digits as its factorization.

21250124335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83321565 (or 83321555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 21250124335040 in words is "twenty-one trillion, two hundred fifty billion, one hundred twenty-four million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 797 1594 3188 3985 6376 7970 12752 15940 25504 31880 51008 63760 127520 255040 83320751 166641502 333283004 416603755 666566008 833207510 1333132016 1666415020 2666264032 3332830040 5332528064 6665660080 13331320160 26662640320 66406638547 132813277094 265626554188 332033192735 531253108376 664066385470 1062506216752 1328132770940 2125012433504 2656265541880 4250024867008 5312531083760 10625062167520 21250124335040