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20413525511304 = 233217233532054159
BaseRepresentation
bin1001010010000111001001…
…11011111100110010001000
32200021111212200200001002200
410221003210323330302020
510133423400012330204
6111225502201000200
74204554122616312
oct451034473746210
980244780601080
1020413525511304
116560366a76252
122358340483060
13b50caab3b9b3
1450803c8a27b2
15256008dd8539
hex1290e4efcc88

20413525511304 has 192 divisors, whose sum is σ = 61257023193600. Its totient is φ = 6108441427968.

The previous prime is 20413525511293. The next prime is 20413525511347. The reversal of 20413525511304 is 40311552531402.

20413525511304 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 525 + 5 + 113 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8910577 + ... + 10964735.

It is an arithmetic number, because the mean of its divisors is an integer number (319046995800).

Almost surely, 220413525511304 is an apocalyptic number.

20413525511304 is a gapful number since it is divisible by the number (24) 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 20413525511304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30628511596800).

20413525511304 is an abundant number, since it is smaller than the sum of its proper divisors (40843497682296).

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

20413525511304 is a wasteful number, since it uses less digits than its factorization.

20413525511304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054564 (or 2054557 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20413525511304 in words is "twenty trillion, four hundred thirteen billion, five hundred twenty-five million, five hundred eleven thousand, three hundred four".