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3712519216 = 2472910111317
BaseRepresentation
bin1101110101001000…
…1000110000110000
3100120201202111221201
43131102020300300
530100401103331
61412220100544
7160666615120
oct33522106060
910521674851
103712519216
1116356906aa
12877394754
134721b8043
142730bcc80
1516addaa61
hexdd488c30

3712519216 has 80 divisors (see below), whose sum is σ = 8589003840. Its totient is φ = 1520870400.

The previous prime is 3712519199. The next prime is 3712519219. The reversal of 3712519216 is 6129152173.

It is not an unprimeable number, because it can be changed into a prime (3712519219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322390 + ... + 333706.

It is an arithmetic number, because the mean of its divisors is an integer number (107362548).

Almost surely, 23712519216 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 3712519216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294501920).

3712519216 is an abundant number, since it is smaller than the sum of its proper divisors (4876484624).

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

3712519216 is a wasteful number, since it uses less digits than its factorization.

3712519216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11456 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 3712519216 is about 60930.4457229717. The cubic root of 3712519216 is about 1548.4228447348.

The spelling of 3712519216 in words is "three billion, seven hundred twelve million, five hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 101 112 116 202 203 232 404 406 464 707 808 812 1414 1616 1624 2828 2929 3248 5656 5858 11312 11317 11716 20503 22634 23432 41006 45268 46864 79219 82012 90536 158438 164024 181072 316876 328048 328193 633752 656386 1143017 1267504 1312772 2286034 2297351 2625544 4572068 4594702 5251088 8001119 9144136 9189404 16002238 18288272 18378808 32004476 33147493 36757616 64008952 66294986 128017904 132589972 232032451 265179944 464064902 530359888 928129804 1856259608 3712519216