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885427006464 = 2103371113223107
BaseRepresentation
bin11001110001001111000…
…11111110110000000000
310010122102221010022022000
430320213203332300000
5104001323303201324
61514432021344000
7120653464242630
oct14704743766000
93118387108260
10885427006464
1131156450a090
12123727868000
1365659548c00
1430bd7b966c0
1518072e629c9
hexce278fec00

885427006464 has 2112 divisors, whose sum is σ = 3728508641280. Its totient is φ = 201162424320.

The previous prime is 885427006463. The next prime is 885427006483. The reversal of 885427006464 is 464600724588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 885427006464.

It is not an unprimeable number, because it can be changed into a prime (885427006463) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 8275018699 + ... + 8275018805.

Almost surely, 2885427006464 is an apocalyptic number.

885427006464 is a gapful number since it is divisible by the number (84) 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 885427006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864254320640).

885427006464 is an abundant number, since it is smaller than the sum of its proper divisors (2843081634816).

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

885427006464 is a wasteful number, since it uses less digits than its factorization.

885427006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 885427006464 in words is "eight hundred eighty-five billion, four hundred twenty-seven million, six thousand, four hundred sixty-four".