Search a number
-
+
21533241312040 = 2353768992108927
BaseRepresentation
bin1001110010101100110010…
…01100110000001100101000
32211020120001121111020222111
410321112121030300030220
510310300034233441130
6113444122352332104
74351503536110423
oct471263114601450
984216047436874
1021533241312040
116952218394137
1224b9352b44034
13c02764466a43
145463005d29ba
152751e06b802a
hex139599330328

21533241312040 has 64 divisors (see below), whose sum is σ = 49766482944000. Its totient is φ = 8379286011648.

The previous prime is 21533241312029. The next prime is 21533241312053. The reversal of 21533241312040 is 4021314233512.

It is a super-2 number, since 2×215332413120402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21533241311993 and 21533241312011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9156057 + ... + 11264983.

It is an arithmetic number, because the mean of its divisors is an integer number (777601296000).

Almost surely, 221533241312040 is an apocalyptic number.

21533241312040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21533241312040 is an abundant number, since it is smaller than the sum of its proper divisors (28233241631960).

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

21533241312040 is a wasteful number, since it uses less digits than its factorization.

21533241312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115874 (or 2115870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 21533241312040 its reverse (4021314233512), we get a palindrome (25554555545552).

The spelling of 21533241312040 in words is "twenty-one trillion, five hundred thirty-three billion, two hundred forty-one million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 6899 13798 27596 34495 55192 68990 137980 255263 275960 510526 1021052 1276315 2042104 2108927 2552630 4217854 5105260 8435708 10210520 10544635 16871416 21089270 42178540 78030299 84357080 156060598 312121196 390151495 624242392 780302990 1560605980 3121211960 14549487373 29098974746 58197949492 72747436865 116395898984 145494873730 290989747460 538331032801 581979494920 1076662065602 2153324131204 2691655164005 4306648262408 5383310328010 10766620656020 21533241312040