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220044660864 = 2737239773643
BaseRepresentation
bin1100110011101110101…
…1110001000010000000
3210000222021211221221020
43030323223301002000
512101122413121424
6245030452425440
721616624520340
oct3147353610200
9700867757836
10220044660864
1185358524626
1236790618280
131799a032c52
14a9162b0d20
155acd0b3079
hex333baf1080

220044660864 has 256 divisors, whose sum is σ = 697940858880. Its totient is φ = 60058386432.

The previous prime is 220044660859. The next prime is 220044660907. The reversal of 220044660864 is 468066440022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60400227 + ... + 60403869.

It is an arithmetic number, because the mean of its divisors is an integer number (2726331480).

Almost surely, 2220044660864 is an apocalyptic number.

220044660864 is a gapful number since it is divisible by the number (24) 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 220044660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348970429440).

220044660864 is an abundant number, since it is smaller than the sum of its proper divisors (477896198016).

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

220044660864 is a wasteful number, since it uses less digits than its factorization.

220044660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 220044660864 in words is "two hundred twenty billion, forty-four million, six hundred sixty thousand, eight hundred sixty-four".