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20454362155008 = 21136172337947
BaseRepresentation
bin1001010011010011001101…
…11111011000100000000000
32200102102021200000111000000
410221221212333120200000
510140111013202430013
6111300334304000000
74210531106432505
oct451514677304000
980372250014000
1020454362155008
116576712213071
122364238600000
13b54ab83340b2
14509dd42174ac
152570e9084973
hex129a66fd8800

20454362155008 has 1344 divisors, whose sum is σ = 69654591377280. Its totient is φ = 5965852704768.

The previous prime is 20454362154953. The next prime is 20454362155043. The reversal of 20454362155008 is 80055126345402.

20454362155008 is a `hidden beast` number, since 2 + 0 + 45 + 4 + 36 + 21 + 550 + 0 + 8 = 666.

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 111 ways as a sum of consecutive naturals, for example, 21599114791 + ... + 21599115737.

It is an arithmetic number, because the mean of its divisors is an integer number (51826332870).

Almost surely, 220454362155008 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 20454362155008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34827295688640).

20454362155008 is an abundant number, since it is smaller than the sum of its proper divisors (49200229222272).

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

20454362155008 is an equidigital number, since it uses as much as digits as its factorization.

20454362155008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 20454362155008 in words is "twenty trillion, four hundred fifty-four billion, three hundred sixty-two million, one hundred fifty-five thousand, eight".