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20702740046400 = 26325235319132129
BaseRepresentation
bin1001011010100001110110…
…11101110110001001000000
32201022011101112211200102200
410231100323131312021000
510203143202422441100
6112010412452113200
74234503124611606
oct455207335661100
981264345750380
1020702740046400
116661a8a045095
1223a43b5905800
13b7234c3190b9
1451803741b876
1525d7d4783e00
hex12d43b776240

20702740046400 has 504 divisors, whose sum is σ = 73864126444680. Its totient is φ = 5499629076480.

The previous prime is 20702740046381. The next prime is 20702740046407. The reversal of 20702740046400 is 464004720702.

It is a happy number.

20702740046400 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 2 + 7 + 4 + 0 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4795469300736 + 15907270745664 = 2189856^2 + 3988392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20702740046407) 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, 9724160536 + ... + 9724162664.

Almost surely, 220702740046400 is an apocalyptic number.

20702740046400 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 20702740046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36932063222340).

20702740046400 is an abundant number, since it is smaller than the sum of its proper divisors (53161386398280).

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

20702740046400 is a wasteful number, since it uses less digits than its factorization.

20702740046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 20702740046400 in words is "twenty trillion, seven hundred two billion, seven hundred forty million, forty-six thousand, four hundred".