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20278474316800 = 21052717331743
BaseRepresentation
bin1001001110001011100110…
…10000100001110000000000
32122210121021202000112020221
410213011303100201300000
510124220303411114200
6111043445201112424
74162033332453340
oct447056320416000
978717252015227
1020278474316800
116509064102a07
122336130028714
13b4133762259b
145016aa60ad20
152527528a991a
hex127173421c00

20278474316800 has 1056 divisors, whose sum is σ = 63090350530560. Its totient is φ = 6324033945600.

The previous prime is 20278474316777. The next prime is 20278474316801. The reversal of 20278474316800 is 861347487202.

It is a super-2 number, since 2×202784743168002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20278474316801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27292697229 + ... + 27292697971.

Almost surely, 220278474316800 is an apocalyptic number.

20278474316800 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 20278474316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545175265280).

20278474316800 is an abundant number, since it is smaller than the sum of its proper divisors (42811876213760).

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

20278474316800 is an equidigital number, since it uses as much as digits as its factorization.

20278474316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 20278474316800 in words is "twenty trillion, two hundred seventy-eight billion, four hundred seventy-four million, three hundred sixteen thousand, eight hundred".