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4213738688 = 26832832803
BaseRepresentation
bin1111101100101000…
…1000110011000000
3101212122220002210212
43323022020303000
532112204114223
61534043013252
7206264121305
oct37312106300
911778802725
104213738688
111872600275
1299720a228
13521ca9203
142bd8b10ac
15199de5278
hexfb288cc0

4213738688 has 56 divisors (see below), whose sum is σ = 8495312448. Its totient is φ = 2073390336.

The previous prime is 4213738687. The next prime is 4213738723. The reversal of 4213738688 is 8868373124.

It is a super-2 number, since 2×42137386882 = 35511187461495922688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4213738687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501895 + ... + 1504697.

It is an arithmetic number, because the mean of its divisors is an integer number (151702008).

Almost surely, 24213738688 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 4213738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247656224).

4213738688 is an abundant number, since it is smaller than the sum of its proper divisors (4281573760).

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

4213738688 is a wasteful number, since it uses less digits than its factorization.

4213738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3171 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 4213738688 is about 64913.3167231501. The cubic root of 4213738688 is about 1615.1859688015.

The spelling of 4213738688 in words is "four billion, two hundred thirteen million, seven hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 283 332 566 664 1132 1328 2264 2656 2803 4528 5312 5606 9056 11212 18112 22424 23489 44848 46978 89696 93956 179392 187912 232649 375824 465298 751648 793249 930596 1503296 1586498 1861192 3172996 3722384 6345992 7444768 12691984 14889536 25383968 50767936 65839667 131679334 263358668 526717336 1053434672 2106869344 4213738688