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20361441963672 = 23341761271111177
BaseRepresentation
bin1001010000100110001001…
…00000111110111010011000
32200002112102220021200110000
410220103010200332322120
510132100213120314142
6111145530045453000
74201031341021545
oct450230440767230
980075386250400
1020361441963672
11654026a192007
12234a225871160
13b490ca521864
145056db569bcc
152549ab67b14c
hex1284c483ee98

20361441963672 has 320 divisors, whose sum is σ = 61403710357440. Its totient is φ = 6280304025600.

The previous prime is 20361441963661. The next prime is 20361441963679. The reversal of 20361441963672 is 27636914416302.

20361441963672 is a `hidden beast` number, since 2 + 0 + 3 + 614 + 4 + 19 + 6 + 3 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20361441963679) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1821721348 + ... + 1821732524.

It is an arithmetic number, because the mean of its divisors is an integer number (191886594867).

Almost surely, 220361441963672 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 20361441963672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30701855178720).

20361441963672 is an abundant number, since it is smaller than the sum of its proper divisors (41042268393768).

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

20361441963672 is a wasteful number, since it uses less digits than its factorization.

20361441963672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13984 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 20361441963672 in words is "twenty trillion, three hundred sixty-one billion, four hundred forty-one million, nine hundred sixty-three thousand, six hundred seventy-two".