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20410341629952 = 21332359612011
BaseRepresentation
bin1001010010000001001110…
…01010011010000000000000
32200021012122210122002222010
410221000213022122000000
510133400334424124302
6111224214223212520
74204412202231351
oct451004712320000
980235583562863
1020410341629952
116559a8283204a
1223577b2147140
13b508c1324a31
14507c19ab1d28
15255dbe62116c
hex12902729a000

20410341629952 has 224 divisors, whose sum is σ = 57753173352960. Its totient is φ = 6397335633920.

The previous prime is 20410341629921. The next prime is 20410341629957. The reversal of 20410341629952 is 25992614301402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20410341629957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33043627 + ... + 33655637.

Almost surely, 220410341629952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20410341629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876586676480).

20410341629952 is an abundant number, since it is smaller than the sum of its proper divisors (37342831723008).

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

20410341629952 is an equidigital number, since it uses as much as digits as its factorization.

20410341629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612122 (or 612098 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 20410341629952 in words is "twenty trillion, four hundred ten billion, three hundred forty-one million, six hundred twenty-nine thousand, nine hundred fifty-two".