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20718631295712 = 253574321391481
BaseRepresentation
bin1001011010111111011101…
…01010001001101011100000
32201100200102001000210100000
410231133232222021223200
510203423224102430322
6112022001404500000
74235604666162540
oct455375652115340
981320361023300
1020718631295712
1166687a4261989
1223a74ab84a600
13b739b26b67bc
14518b03b61320
1525de149473ac
hex12d7eea89ae0

20718631295712 has 864 divisors, whose sum is σ = 72054112515840. Its totient is φ = 5736470906880.

The previous prime is 20718631295711. The next prime is 20718631295771. The reversal of 20718631295712 is 21759213681702.

20718631295712 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 8 + 63 + 1 + 2 + 9 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (20718631295711) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13989622012 + ... + 13989623492.

It is an arithmetic number, because the mean of its divisors is an integer number (83395963560).

Almost surely, 220718631295712 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 20718631295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027056257920).

20718631295712 is an abundant number, since it is smaller than the sum of its proper divisors (51335481220128).

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

20718631295712 is a wasteful number, since it uses less digits than its factorization.

20718631295712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 20718631295712 in words is "twenty trillion, seven hundred eighteen billion, six hundred thirty-one million, two hundred ninety-five thousand, seven hundred twelve".