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20293376544 = 2532717261571
BaseRepresentation
bin10010111001100101…
…000101101000100000
31221101021120100012200
4102321211011220200
5313030101022134
613153405253200
71315613566050
oct227145055040
957337510180
1020293376544
11867409a181
123b24264200
131bb53c6a1c
14da7253560
157db8bc499
hex4b9945a20

20293376544 has 432 divisors, whose sum is σ = 71334559296. Its totient is φ = 5358182400.

The previous prime is 20293376513. The next prime is 20293376549. The reversal of 20293376544 is 44567339202.

20293376544 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 33 + 76 + 544 = 666.

It is a super-2 number, since 2×202933765442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20293376544.

It is not an unprimeable number, because it can be changed into a prime (20293376549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35539779 + ... + 35540349.

Almost surely, 220293376544 is an apocalyptic number.

20293376544 is a gapful number since it is divisible by the number (24) 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 20293376544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35667279648).

20293376544 is an abundant number, since it is smaller than the sum of its proper divisors (51041182752).

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

20293376544 is a wasteful number, since it uses less digits than its factorization.

20293376544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 20293376544 in words is "twenty billion, two hundred ninety-three million, three hundred seventy-six thousand, five hundred forty-four".