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20494981332576 = 253447536534861
BaseRepresentation
bin1001010100011110111000…
…00101001111111001100000
32200120022010111011111110000
410222033130011033321200
510141242210210120301
6111331133041540000
74213466512644642
oct452173405177140
980508114144400
1020494981332576
116591966728403
122370093944600
13b5888c7681ca
1450bd68b20892
152581c50c6786
hex12a3dc14fe60

20494981332576 has 480 divisors, whose sum is σ = 62828055658368. Its totient is φ = 6548755599360.

The previous prime is 20494981332559. The next prime is 20494981332607. The reversal of 20494981332576 is 67523318949402.

20494981332576 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 49 + 8 + 13 + 3 + 2 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4216204386 + ... + 4216209246.

It is a 1-persistent number, because it is pandigital, but 2⋅20494981332576 = 40989962665152 is not.

Almost surely, 220494981332576 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 20494981332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31414027829184).

20494981332576 is an abundant number, since it is smaller than the sum of its proper divisors (42333074325792).

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

20494981332576 is a wasteful number, since it uses less digits than its factorization.

20494981332576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20494981332576 in words is "twenty trillion, four hundred ninety-four billion, nine hundred eighty-one million, three hundred thirty-two thousand, five hundred seventy-six".