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6988668896 = 251167329501
BaseRepresentation
bin1101000001000111…
…01001111111100000
3200001001102011102202
412200203221333200
5103303044401041
63113251232332
7335120463656
oct64043517740
920031364382
106988668896
112a66a15420
1214305a86a8
13874b69551
144a424add6
152ad82ba9b
hex1a08e9fe0

6988668896 has 48 divisors (see below), whose sum is σ = 15032567088. Its totient is φ = 3171840000.

The previous prime is 6988668889. The next prime is 6988668913.

6988668896 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222146 + ... + 251646.

It is an arithmetic number, because the mean of its divisors is an integer number (313178481).

Almost surely, 26988668896 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 6988668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516283544).

6988668896 is an abundant number, since it is smaller than the sum of its proper divisors (8043898192).

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

6988668896 is a wasteful number, since it uses less digits than its factorization.

6988668896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30195 (or 30187 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 74.

The square root of 6988668896 is about 83598.2589292385. The cubic root of 6988668896 is about 1911.8984528505.

The spelling of 6988668896 in words is "six billion, nine hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 673 1346 2692 5384 7403 10768 14806 21536 29501 29612 59002 59224 118004 118448 236008 236896 324511 472016 649022 944032 1298044 2596088 5192176 10384352 19854173 39708346 79416692 158833384 218395903 317666768 436791806 635333536 873583612 1747167224 3494334448 6988668896