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20329502688000 = 283353112139047
BaseRepresentation
bin1001001111101010101001…
…10010010100001100000000
32122222110222222220100222000
410213311110302110030000
510131034310142004000
6111123124500144000
74165521012453012
oct447652462241400
978873888810860
1020329502688000
11652876a307510
122343bb1398000
13b460aa453c7c
14503d4b7521b2
15253c3c687000
hex127d54c94300

20329502688000 has 576 divisors, whose sum is σ = 81847848176640. Its totient is φ = 4928361984000.

The previous prime is 20329502687993. The next prime is 20329502688007. The reversal of 20329502688000 is 88620592302.

It is a happy number.

20329502688000 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 9 + 502 + 68 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20329502687993) and next prime (20329502688007).

It is a tau number, because it is divible by the number of its divisors (576).

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 (20329502688007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8434477 + ... + 10573523.

It is an arithmetic number, because the mean of its divisors is an integer number (142096958640).

Almost surely, 220329502688000 is an apocalyptic number.

20329502688000 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 20329502688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40923924088320).

20329502688000 is an abundant number, since it is smaller than the sum of its proper divisors (61518345488640).

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

20329502688000 is a wasteful number, since it uses less digits than its factorization.

20329502688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139098 (or 2139068 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20329502688000 in words is "twenty trillion, three hundred twenty-nine billion, five hundred two million, six hundred eighty-eight thousand".