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20386559466 = 23372131931193
BaseRepresentation
bin10010111111001000…
…100011010111101010
31221121202220112011000
4102333020203113222
5313222424400331
613210534415430
71321124616300
oct227710432752
957552815130
1020386559466
118711754959
123b4b501576
131bcb7c1650
14db578c270
157e4b770e6
hex4bf2235ea

20386559466 has 192 divisors, whose sum is σ = 59742748800. Its totient is φ = 5093528832.

The previous prime is 20386559449. The next prime is 20386559509. The reversal of 20386559466 is 66495568302.

20386559466 is a `hidden beast` number, since 2 + 0 + 3 + 86 + 559 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×203865594662 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637966 + ... + 669158.

It is an arithmetic number, because the mean of its divisors is an integer number (311160150).

Almost surely, 220386559466 is an apocalyptic number.

20386559466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20386559466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29871374400).

20386559466 is an abundant number, since it is smaller than the sum of its proper divisors (39356189334).

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

20386559466 is a wasteful number, since it uses less digits than its factorization.

20386559466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31250 (or 31237 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 20386559466 in words is "twenty billion, three hundred eighty-six million, five hundred fifty-nine thousand, four hundred sixty-six".