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20455649280 = 212345111959
BaseRepresentation
bin10011000011010000…
…000111000000000000
31221210120220122120000
4103003100013000000
5313343121234110
613221443320000
71322624102313
oct230320070000
957716818500
1020455649280
118747754080
123b6a680000
131c0cc01ab1
14dc0a1497a
157eac731c0
hex4c3407000

20455649280 has 1040 divisors, whose sum is σ = 85631990400. Its totient is φ = 4618321920.

The previous prime is 20455649273. The next prime is 20455649317. The reversal of 20455649280 is 8294655402.

20455649280 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 564 + 9 + 2 + 80 = 666.

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

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, 346705891 + ... + 346705949.

Almost surely, 220455649280 is an apocalyptic number.

20455649280 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 20455649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42815995200).

20455649280 is an abundant number, since it is smaller than the sum of its proper divisors (65176341120).

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

20455649280 is a wasteful number, since it uses less digits than its factorization.

20455649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20455649280 in words is "twenty billion, four hundred fifty-five million, six hundred forty-nine thousand, two hundred eighty".