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20617131626280 = 23335729593494567
BaseRepresentation
bin1001011000000010011001…
…10011101000111100101000
32200222222102100111100101000
410230001030303220330220
510200242341144020110
6111503213550355000
74225352512214130
oct454011463507450
980888370440330
1020617131626280
116629749351a62
12238b8a37bba60
13b6725829c3c7
14513c35885ac0
1525b473c2b1c0
hex12c04cce8f28

20617131626280 has 1024 divisors, whose sum is σ = 82881792000000. Its totient is φ = 4459076407296.

The previous prime is 20617131626279. The next prime is 20617131626291. The reversal of 20617131626280 is 8262613171602.

20617131626280 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 7 + 1 + 3 + 16 + 2 + 628 + 0 = 666.

It is a super-2 number, since 2×206171316262802 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 4514368557 + ... + 4514373123.

It is an arithmetic number, because the mean of its divisors is an integer number (80939250000).

Almost surely, 220617131626280 is an apocalyptic number.

20617131626280 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 20617131626280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41440896000000).

20617131626280 is an abundant number, since it is smaller than the sum of its proper divisors (62264660373720).

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

20617131626280 is a wasteful number, since it uses less digits than its factorization.

20617131626280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 20617131626280 its reverse (8262613171602), we get a palindrome (28879744797882).

The spelling of 20617131626280 in words is "twenty trillion, six hundred seventeen billion, one hundred thirty-one million, six hundred twenty-six thousand, two hundred eighty".