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20460027456 = 2632112436827
BaseRepresentation
bin10011000011100000…
…110011111001000000
31221210220011002021200
4103003200303321000
5313400231334311
613222121221200
71323006235551
oct230340637100
957726132250
1020460027456
11874a174500
123b70031800
131c10aa582b
14dc1434328
157eb33a556
hex4c3833e40

20460027456 has 252 divisors, whose sum is σ = 65969759856. Its totient is φ = 6054935040.

The previous prime is 20460027449. The next prime is 20460027463. The reversal of 20460027456 is 65472006402.

20460027456 is a `hidden beast` number, since 2 + 0 + 4 + 600 + 2 + 7 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20460027449) and next prime (20460027463).

It is a super-2 number, since 2×204600274562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20460027456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2993515 + ... + 3000341.

Almost surely, 220460027456 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 20460027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984879928).

20460027456 is an abundant number, since it is smaller than the sum of its proper divisors (45509732400).

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

20460027456 is a wasteful number, since it uses less digits than its factorization.

20460027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20460027456 in words is "twenty billion, four hundred sixty million, twenty-seven thousand, four hundred fifty-six".