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20312561321640 = 23325773127786467
BaseRepresentation
bin1001001111001011000110…
…00000001000011010101000
32122220212021022201210021200
410213211203000020122220
510130300111144243030
6111111243432004200
74164351130305240
oct447454300103250
978825238653250
1020312561321640
116521566356195
122340863830660
13b4460a64c933
145031c1776b20
1525359a1e2d60
hex1279630086a8

20312561321640 has 384 divisors, whose sum is σ = 76540947874560. Its totient is φ = 4575631306752.

The previous prime is 20312561321623. The next prime is 20312561321677. The reversal of 20312561321640 is 4612316521302.

20312561321640 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 5 + 6 + 1 + 3 + 2 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20312561321595 and 20312561321604.

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 95 ways as a sum of consecutive naturals, for example, 234873687 + ... + 234960153.

It is an arithmetic number, because the mean of its divisors is an integer number (199325385090).

Almost surely, 220312561321640 is an apocalyptic number.

20312561321640 is a gapful number since it is divisible by the number (20) 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 20312561321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38270473937280).

20312561321640 is an abundant number, since it is smaller than the sum of its proper divisors (56228386552920).

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

20312561321640 is a wasteful number, since it uses less digits than its factorization.

20312561321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87841 (or 87834 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 20312561321640 its reverse (4612316521302), we get a palindrome (24924877842942).

The spelling of 20312561321640 in words is "twenty trillion, three hundred twelve billion, five hundred sixty-one million, three hundred twenty-one thousand, six hundred forty".