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20346334460550 = 232527194359133999
BaseRepresentation
bin1001010000001010000000…
…00010011011101010000110
32200001002110000212000012100
410220011000002123222012
510131323243110214200
6111134551011332530
74166655064250130
oct450050002335206
980032400760170
1020346334460550
11653491741433a
12234730a2b1146
13b47860635ab7
14504aa6d60050
152543c51cdd00
hex12814009ba86

20346334460550 has 576 divisors, whose sum is σ = 68431334400000. Its totient is φ = 4230391898880.

The previous prime is 20346334460527. The next prime is 20346334460633. The reversal of 20346334460550 is 5506443364302.

20346334460550 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 6 + 3 + 34 + 4 + 60 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20346334460496 and 20346334460505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151772451 + ... + 151906449.

It is an arithmetic number, because the mean of its divisors is an integer number (118804400000).

Almost surely, 220346334460550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20346334460550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34215667200000).

20346334460550 is an abundant number, since it is smaller than the sum of its proper divisors (48084999939450).

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

20346334460550 is a wasteful number, since it uses less digits than its factorization.

20346334460550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134145 (or 134137 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 20346334460550 in words is "twenty trillion, three hundred forty-six billion, three hundred thirty-four million, four hundred sixty thousand, five hundred fifty".