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204708911680 = 26571331226769
BaseRepresentation
bin1011111010100110011…
…0100001101001000000
3201120101111221011221201
42332221212201221000
511323220440133210
6234013022230544
720534610016330
oct2765146415100
9646344834851
10204708911680
11798a8931249
1233810725454
13163c4a80350
149c9d64d0c0
1554d1a7c53a
hex2fa99a1a40

204708911680 has 224 divisors, whose sum is σ = 619310684160. Its totient is φ = 62696816640.

The previous prime is 204708911669. The next prime is 204708911683. The reversal of 204708911680 is 86119807402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 204708911680.

It is not an unprimeable number, because it can be changed into a prime (204708911683) by changing a digit.

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, 789336 + ... + 1016104.

It is an arithmetic number, because the mean of its divisors is an integer number (2764779840).

Almost surely, 2204708911680 is an apocalyptic number.

204708911680 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 204708911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309655342080).

204708911680 is an abundant number, since it is smaller than the sum of its proper divisors (414601772480).

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

204708911680 is a wasteful number, since it uses less digits than its factorization.

204708911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226837 (or 226827 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 204708911680 in words is "two hundred four billion, seven hundred eight million, nine hundred eleven thousand, six hundred eighty".