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20203863326640 = 243657283103827
BaseRepresentation
bin1001001100000000101000…
…00110001011111110110000
32122112110200222021112000000
410212000110012023332300
510122010003002423030
6110545305432430000
74153452365505600
oct446002406137660
978473628245000
1020203863326640
11648a457152774
122323788b48300
13b372a6b104b6
144dbc2d476c00
15250837584860
hex12601418bfb0

20203863326640 has 1680 divisors, whose sum is σ = 83820630636288. Its totient is φ = 4512628786176.

The previous prime is 20203863326609. The next prime is 20203863326641. The reversal of 20203863326640 is 4662336830202.

20203863326640 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 3 + 8 + 633 + 2 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (20203863326641) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 24430305907 + ... + 24430306733.

Almost surely, 220203863326640 is an apocalyptic number.

20203863326640 is a gapful number since it is divisible by the number (20) 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 20203863326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41910315318144).

20203863326640 is an abundant number, since it is smaller than the sum of its proper divisors (63616767309648).

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

20203863326640 is a wasteful number, since it uses less digits than its factorization.

20203863326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 20203863326640 in words is "twenty trillion, two hundred three billion, eight hundred sixty-three million, three hundred twenty-six thousand, six hundred forty".