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20289770622576 = 24327132367799439
BaseRepresentation
bin1001001110100000101001…
…00100100000111001110000
32122211200110000000022121100
410213100110210200321300
510124411422234410301
6111052554132124400
74162613300461410
oct447202444407160
978750400008540
1020289770622576
116512930621704
122338363166700
13b42417a533a0
1450205c9ac640
15252bb4478286
hex127414920e70

20289770622576 has 480 divisors, whose sum is σ = 73034005524480. Its totient is φ = 5110877730816.

The previous prime is 20289770622571. The next prime is 20289770622587. The reversal of 20289770622576 is 67522607798202.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289770622571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203992665 + ... + 204092103.

It is an arithmetic number, because the mean of its divisors is an integer number (152154178176).

Almost surely, 220289770622576 is an apocalyptic number.

20289770622576 is a gapful number since it is divisible by the number (26) 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 20289770622576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517002762240).

20289770622576 is an abundant number, since it is smaller than the sum of its proper divisors (52744234901904).

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

20289770622576 is a wasteful number, since it uses less digits than its factorization.

20289770622576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100173 (or 100164 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 20289770622576 in words is "twenty trillion, two hundred eighty-nine billion, seven hundred seventy million, six hundred twenty-two thousand, five hundred seventy-six".